Topological Methods in Nonlinear Analysis

Papers
(The TQCC of Topological Methods in Nonlinear Analysis is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)
ArticleCitations
A family of distal functions and multipliers for strict ergodicity7
Existence and multiplicity of normalized solutions to lower critical Choquard equation with kinds of bounded potentials6
On Conley theory for generalized Gutierrez-Sotomayor flows4
Periodic solutions of fractional Laplace equations: Least period, axial symmetry and limit4
Fixed point theory on Banach spheres3
Monotonicity of eigenvalues of the fractional $p$-Laplacian with singular weights3
On determining the homological Conley index of Poincaré maps in autonomous systems3
Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps3
A note on positive solutions of Lichnerowicz equations involving the $\Delta_\lambda$-Laplacian3
Controllability analysis of damped elastic systems using sequence method3
Role of partial functionals in the study of variational systems2
Minimizing travelling waves for the one-dimensional nonlinear Schrödinger equations with non-zero condition at infinity2
Rescaled-expansive flows: unstable sets and topological entropy2
Common fixed points in Chebyshev center for a semigroup of isometry mappings2
Balanced capacities2
Andrzej Granas (1929-2019)2
Directed topological complexity of poset-stratified spaces2
Fixed points of $G$-monotone mappings in metric and modular spaces1
Concentrating solutions for a class of indefinite Schrödinger-Poisson systems with doubly critical growth1
Lyapunov exponents and the absolute continuity of intermediate foliations of special Anosov endomorphisms on T^d1
Sequential parametrized topological complexity of group epimorphisms1
On multipolynomial extensions of Kahae-Salem-Zygmund inequality and applications1
Fourth-order elliptic problems involving concave-superlinear nonlinearities1
Measures of noncompactness in Köthe spaces1
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces1
Symmetry-breaking bifurcations for free boundary problems modeling tumor growth1
The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms1
Lift factors for the Nielsen root theory on $n$-valued maps1
Σ-shaped bifurcation curves influenced by nonlinear boundary conditions for classes of reaction diffusion systems1
Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds1
Multiplicity of solutions to critical p-Laplace equations involving a Hardy potential1
On infinite systems of nonlinear integral equations in two variables in Banach Space $BC(\mathbb{R_+}\times \mathbb{R_+},c_0$)1
Lusternik-Schnirelmann theory to topological complexity from $A_{\infty}$-view point1
Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients1
On split equality monotone variational inclusion and fixed point problems in reflexive Banach spaces1
Periodic solutions to non-autonomous predator-prey systems with multiple and time-dependent delays1
Sign-changing solutions for a critical exponential problem with competing potentials1
Reeb graphs of circle-valued functions: A survey and basic facts1
The homotopy classification of proper Fredholm maps of index one1
Fixed point theorems for continuous single-valued and upper semicontinuous set-valued mappings in $p$-vector and locally $p$-convex spaces1
A direct proof of existence of weak solutions to elliptic problems1
Strategies to annihilate coincidences of maps from two-complexes into the circle1
Summing multilinear operators and sequence classes1
Semiclassical solutions for fractional logarithmic Schrödinger equations with potentials unbounded below1
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations1
Neumann-type boundary value problem associated with Hamiltonian systems1
On solutions vanishing at infinity of infinite systems of quadratic Urysohn integral equations1
Existence and multiplicity of sign-changing solutions for a Schrödinger-Bopp-Podolsky system1
Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two1
On the relative category in the brake orbits problem1
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values1
G-category versus orbifold category1
Existence of positive solutions in the space of Hölder functions for a class of nonlinear fractional differential equations with integral boundary conditions1
A note on nonautonomous Schrödinger equations with inhomogeneous nonlinearities1
On a class of Hausdorff measure of cartesian product sets in metric spaces1
A fixed point theorem for nonself nonlinear contractions in length spaces1
Geometric analysis of quadratic differential systems with invariant ellipses1
On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation1
Existence and regularity of positive solutions of a degenerate fourth order elliptic problem1
An accelerated variant of the projection based parallel hybrid algorithm for split null point problems1
Periodic solutions for impulsive differential inclusions with state dependent impulses0
Characterizations of distality via weak equicontinuity on compact Hausdorff spaces0
New fixed point results for nonlinear Feng-Liu contractions with applications0
Retracting a ball in $\ell_1$ onto its simple spherical cap0
Topologizing Sperner's lemma0
A noniterative reconstruction method for the inverse potential problem for a time-fractional diffusion equation0
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle - part 20
Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^80
Relative sectional number and the coincidence property0
Absolute normalized norms in R^2 and Heinz means constant0
$\alpha$-$(h,e)$-convex operators and applications for Riemann-Liouville fractional differential equations0
Global multiplicity for parametric anisotropic Neumann (p,q)-equations0
Local and nonlocal problems for fractional impulsive evolution systems with order $\nu\in(1,2)$0
Well-ordered and non-well-ordered lower and upper solutions for periodic 2N-dimensional systems0
A word on Professor Kazimierz Goebel (1940-2022)0
Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion0
Existence results for fractional Brezis-Nirenberg type problems in unbounded domains0
Realization of a graph as the Reeb graph of a height function on an embedded surface0
Topological complexity of oriented Grassmann manifolds0
Halpern-type proximal point algorithm in CAT(0) spaces0
Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth0
Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space0
Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets0
Improved bounds for fractional integrals in generalized locally convex spaces and applications0
Affine-periodic solutions for generalized ODEs and other equations0
Some existence results for nonresonant difference equations on infinite intervals subject to nonlocal boundary conditions0
On a class of weighted anisotropic p-Laplace equation with singular nonlinearity0
Multiplicity of 2-nodal solutions of the Yamabe equation0
Sectional category à la Quillen0
The kernel space of linear operator for a class of Grushin equation0
Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space0
Topological complexity of $S^3/Q_8$ as fibrewise L-S category0
A classification of semi-equivelar gems of PL d-manifolds on the surface with Euler characteristic -10
On the fractional-in-time Keller-Segel model via Sonine kernels0
On the critical $p$-Kirchhoff equation0
Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth0
Structure of the set of fixed points of uniformly Lipschitzian semigroups in CAT(0) spaces0
Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities0
Existence of a fixed point and stability results for contractive mappings on metric spaces with graphs0
Normalized solutions for the Schrödinger-Poisson system with doubly critical growth0
Deformational symmetries of smooth functions on non-orientable surfaces0
Mild solutions to a class of nonlinear second order evolution equations0
Multiple cylindrically symmetric solutions of nonlinear Maxwell equations0
Strong surjections from two-complexes with trivial top-cohomology onto nonorientable surfaces0
Embeddability of joins and products of polyhedra0
Conley index theory and the attractor-repeller decomposition for differential inclusions0
A priori bounds and existence of positive solutions for fractional Kirchhoff equations0
Gutierrez-Sotomayor flows on singular surfaces0
The relative cup-length in local Morse cohomology0
Some notes on the topological pressure of non-autonomous systems0
The fixed point set of the inverse involution on a Lie group0
Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system0
A two-phase free boundary problem involving exponential operator0
Critical points of a mean field type functional on a closed Riemann surface0
A characterization of nonautonomous attractors via Stone-Čech compactification0
Critical Kirchhoff-type equation with singular potential0
Positive solution of quasilinear elliptic equations in $\mathbb{R}^N$ with a bounded quasilinearity0
Corrigendum to "Retracting a ball in $\ell_1$ onto its simple spherical cap" (Topol. Methods Nonlinear Anal. 63 (2024), no.1, 115-129)0
Topological degree for some parabolic equations with Riemann-Liouville time-fractional derivatives0
Multiple solutions of nonlinear Neumann inclusions0
Infinitely many small bouncing solutions of Hill's type impact oscillators nearby the origin0
Existence of solutions for the $(p,N)$-Laplacian equation with logarithmic and critical exponential nonlinearities0
On the operator of center of distances between the spaces of closed subsets of the real line0
A measure differential inclusion with time-dependent maximal monotone operators0
Minimizers of L^2-critical inhomogeneous variational problems with a spatially decaying nonlinearity in bounded domains0
Existence of eigenvalues for anisotropic and fractional anisotropic problems via Ljusternik-Schnirelmann Theory0
A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents0
Explicit models of ℓ_1-preduals and the weak* fixed point property in ℓ_10
Normalized solutions to a non-variational Schrödinger system0
Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation0
On the Choquard equations under the effect of a general nonlinear term0
A class of singular $k_i$-Hessian systems0
A study on approximate controllability of evolution systems with nonlocal conditions0
An estimation of the Banach-Mazur distance between the space of convergent sequences and a concrete model of a space of affine continuous functions0
Infinitely many positive solutions for a double phase problems involving the double phase operator0
Remarks on criticality and crisis in pure exchange economies0
Equilibria of vortex type Hamiltonians on closed surfaces0
Multiple mixed interior and boundary peaks synchronized solutions for linearly coupled Schrödinger systems0
Higher topological type semiclassical states for fractional nonlinear elliptic equations0
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators0
Concentrating solutions for an anisotropic planar elliptic Neumann problem with Hardy-Hénon weight and large exponent0
Conley index theory for Gutierrez-Sotomayor flows on singular 3-manifolds0
Ground state solutions for a critical fractional Laplacian equation in unbounded domains: existence and regularity0
On the monotonicity of non-local perimeter of convex bodies0
On the degenerate Arnold conjecture on T^{2m} x CP^n0
Pohožaev-type ground state solutions for Choquard equation with singular potential and critical exponent0
BMO and Dirichlet problem for semi-linear equations in the plane0
Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems0
Partial minimization over the Nehari set and applications to elliptic equations0
A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth0
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems0
Normalized solutions to p-Laplacian equation: Sobolev critical case0
Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity0
p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions0
Milnor attractors and period incrementing on pattern iterations of flat top tent maps0
Lower bounds for admissible values of the travelling wave speed in asymmetrically supported beam0
Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term0
Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type0
Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in $R^2$ and $R^3$0
Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity0
The Banach-Mazur distance between C(Δ) and C_0(Δ) equals 20
Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations0
Parametrised topological complexity of group epimorphisms0
Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent0
Flexibility of generalized entropy for wandering dynamics0
Some generalized nonexpansive mappings and weak normal structure0
A Kirchhoff type elliptic systems with exponential growth nonlinearities0
Local Morrey estimate in Musielak-Orlicz-Sobolev space0
Topological entropy of diagonal maps on inverse limit spaces0
Regularization methods for solving the split feasibility problem with multiple output sets in Hilbert spaces0
Characterization of the algebraic difference of special affine Cantor sets0
Levitin-Polyak Well-posedness by perturbations for bilevel mixed vector variational inequalities0
Periodic solutions of singular Duffing equations under one-sided Lipschitz condition0
On radial solutions for some elliptic equations involving operators with unbounded coefficients in exterior domains0
Hilbert and Poincaré problems for semi-linear equations in rectifiable domains0
Multiplicity of positive solutions for a Kirchhoff type problem without asymptotic conditions0
A note on local minimizers of energy on complete manifolds0
Sectional category of maps related to finite spaces0
Envy-free division via configuration spaces0
Proper topological complexity0
Fan-hemicontinuity for the gradient of the norm in several reflexive Banach spaces0
Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations0
Periodic points of self-maps of products of lens spaces $L(3)\times L(3)$0
Realization of rotation vectors for volume preserving homeomorphisms of the torus0
Analyzing multifiltering functions using multiparameter Discrete Morse Theory0
Rank-two solenoidal endomorphisms0
Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments0
Bifurcation of solutions of $U(1)$-equivariant semilinear boundary value problems0
Multiple nodal solutions for a critical nonlinear Choquard equation0
Bi-spatial random attractor for stochastic FitzHugh-Nagumo systems on unbounded thin domain0
Compactness in normed spaces: a unified approach through semi-norms0
Convergence and well-posedness properties of uniformly locally contractive mappings0
Minimal flow morsification subject to level set control: a combinatorial approach0
Existence of saddle-type solutions for a class of quasilinear problems in R^20
Multiple solutions for perturbed quasilinear elliptic problems0
Fixed point theorem for generic 2-generalized hybrid mappings in Hilbert spaces0
Existence of ground state solutions for the nonlinear elliptic equations with zero mass on lattice graphs0
Existence and uniqueness of a renormalized solution to fractional elliptic inclusions with $L^1$-data0
Positive ground state solutions of the critical nonlinear Schrödinger system with the harmonic potentials for the cooperative case0
LS-category and topological complexity of Milnor manifolds and corresponding generalized projective product spaces0
On Halpern-type sequences with applications in Hadamard spaces0
Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces0
Existence of positive solution for a class of quasilinear Schrödinger equations with potential vanishing at infinity on nonreflexive Orlicz-Sobolev spaces0
Hopf bifurcation and stability analysis for a delayed equation with φ-Laplacian0
Optimal control, well-posedness and sensitivity analysis for a class of generalized evolutionary systems0
Liouville type theorems for Kirchhoff sub-elliptic equations involving $\Delta_\lambda$-operators0
A class of double phase problem without Ambrosetti-Rabinowitz-type growth condition: infinitely many solutions0
Fixed point indices and fixed words at infinity of selfmaps of graphs II0
Sign-changing multi-bump solutions for Choquard equation with deepening potential well0
Existence of solutions for the Brezis-Nirenberg problem0
Isolating neighborhoods and their stability for differential inclusions and Filippov systems0
Modular version of Goebel-Kirk theorem0
On first and second-order perturbed differential inclusions governed by maximal monotone operators0
The Airy equations with impulsive effect: multi-valued nonlinear perturbations0
On the critical exponents for a fractional diffusion-wave equation with a nonlinear memory term in a bounded domain0
Fixed point results for convex orbital nonexpansive type mappings0
Reverse Faber-Krahn inequalities for Zaremba problems0
Gromov-Hausdorff stability for semilinear systems with large diffusion0
Equilibrium under uncertainty with fuzzy payoff0
A characterization of the family of iterated nonexpansive mappings under every renorming0
Short proofs of Cambern's 1968 theorem and its generalizations applicable to fixed point theory0
Parametrized topological complexity of sphere bundles0
A non-linear stable non-Gaussian process in fractional time0
Coincidence theorems for finite topological spaces0
Hopf bifurcation in a diffusive predator-prey model with a square-root singularity0
Weakly nonlinear hyperbolic differential equation of the second order in Hilbert space0
A fixed point index approach to a third order nonlocal boundary value problem0
The existence of multiple topologically distinct solutions to $\sigma_{2,p}$-energy0
Maps of degree one, LS category and higher topological complexities0
The regularized free fall II. Homology computation via heat flow0
A Borel linear subspace of R^\omega that cannot be covered by countably many closed Haar-meager sets0
Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases0
Analysis of the Hopf bifurcation in a Diffusive Gierer-Meinhardt Model0
Positive solutions of Neumann boundary value problems and applications to logistic type population models0
Uniqueness of solutions for boundary value problems for nonlinear fractional differential equations0
Nonlocal elliptic systems of N-Kirchhoff type with exponential growth0
Three positive solutions for the indefinite fractional Schrödinger-Poisson systems0
Construction of solutions to a nonlinear critical elliptic system via local Pohozaev identities0
Borsuk-Ulam theorems for elementary abelian 2-groups0
Remarks on the continuity of convex functions in geodesic spaces0
Fractional Schrödinger-Poisson system with singularity and critical growth0
Brézis-Kato type regularity results for higher order elliptic operators0
Corrigendum to "Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system" (Topol. Methods Nonlinear Anal. 61 (2023), no.1, 527-547)0
Existence of nontrivial solutions to Schrödinger systems with linear and nonlinear couplings via Morse theory0
On a weighted problem of p-biharmonic type in the unit ball of R^N with exponential growth non linearity0
On a critical Hamiltonian system with Neumann boundary conditions0
Fixed point theorems in partially ordered topological spaces with applications0
Normalized solutions to a class of Choquard-type equations with potential0
On Caristi fixed point theorem for set-valued mappings0
A borderline analysis of the Nehari manifold method for concave-convex system0
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