OOIR: Observatory of International Research

Papers

(The median citation count of Advances in Calculus of Variations 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 2021-08-01 to 2025-08-01.)

Article	Citations
Hierarchy structures in finite index CMC surfaces	16
Sobolev contractivity of gradient flow maximal functions	16
On some variational problems involving capacity, torsional rigidity, perimeter and measure	16
A Weierstrass extremal field theory for the fractional Laplacian	14
The L ¹-relaxed area of the graph of the vortex map: Optimal upper bound	9
Frontmatter	9
Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum	9
Stationary sets of the mean curvature flow with a forcing term	8
On the interior regularity criteria for the viscoelastic fluid system with damping	8
On the behavior of the first eigenvalue of thep-Laplacian with Robin boundary conditions aspgoes to 1	7
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	7
Relaxed many-body optimal transport and related asymptotics	6
On a class of obstacle problems with (p, q)-growth and explicit u-dependence	6
A split special Lagrangian calibration associated with frame vorticity	6
Quasiconformal, Lipschitz, and BV mappings in metric spaces	6
Frontmatter	5
Homogenization of high-contrast composites under differential constraints	5
Frontmatter	5
Stability of the ball under volume preserving fractional mean curvature flow	5
Approximation of the Willmore energy by a discrete geometry model	5
Quantitative C ¹-stability of spheres in rank one symmetric spaces of non-compact type	4
Functional inequalities and applications to doubly nonlinear diffusion equations	4
The 2+1-convex hull of a~finite set	4
Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds	4
Characterization of the subdifferential and minimizers for the anisotropic p-capacity	3

Dimension estimates for the boundary of planar Sobolev extension domains	3
An elliptic approximation for phase separation in a fractured material	3
Frontmatter	3
The L_p Minkowski problem for q-torsional rigidity	3
Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient	3
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	3
Lipschitz regularity for degenerate elliptic integrals with ????, ????-growth	3
On the behavior in time of the solutions to total variation flow	2
The first Grushin eigenvalue on cartesian product domains	2
Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity	2
Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strain	2
A flow approach to the prescribed Gaussian curvature problem in ℍ^????+1	2
Stability from rigidity via umbilicity	2
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	2
On prescribing the number of singular points in a Cosserat-elastic solid	2
Monotonicity of entire solutions to reaction-diffusion equations involving fractional p-Laplacian	2
On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary	2
A sub-Riemannian maximum modulus theorem	2
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	2
On the variational nature of the Anzellotti pairing	2
Gradient estimates for an orthotropic nonlinear diffusion equation	2
A new proof of compactness in G(S)BD	2
No Lavrentiev gap for some double phase integrals	2
Sobolev embeddings and distance functions	1
Generalized minimizing movements for the varifold Canham–Helfrich flow	1
A characterization of gauge balls in ℍⁿ by horizontal curvature	1
A partially overdetermined problem in domains with partial umbilical boundary in space forms	1
Properties of the free boundaries for the obstacle problem of the porous medium equations	1
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions	1
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	1
A generalized fractional Pohozaev identity and applications	1
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space	1
Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities	1
Concavity properties for solutions to p-Laplace equations with concave nonlinearities	1
Frontmatter	1
Frontmatter	1
On isosupremic vectorial minimisation problems in L ^∞ with general nonlinear constraints	1
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains	1
A speed preserving Hilbert gradient flow for generalized integral Menger curvature	1
Frontmatter	1
Lipschitz bounds for integral functionals with (p,q)-growth conditions	1
Parabolic Lipschitz truncation for multi-phase problems: The degenerate case	1
Another proof of the existence of homothetic solitons of the inverse mean curvature flow	1
Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity	1
Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters	1
Discrete approximation of nonlocal-gradient energies	1
The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points	1
Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries	1
A discrete crystal model in three dimensions: The line-tension limit for dislocations	1
Interpolation inequalities for partial regularity	1

Frontmatter	1
Regularity results for a class of widely degenerate parabolic equations	0
Gamma-convergence of Gaussian fractional perimeter	0
Frontmatter	0
Non-local BV functions and a denoising model with L ¹ fidelity	0
Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term	0
An inequality for the normal derivative of the Lane–Emden ground state	0
Minimality of balls in the small volume regime for a general Gamow-type functional	0
Morse theory and the calculus of variations	0
On the Hölder regularity of all extrema in Hilbert’s 19th Problem	0
On the asymptotic behavior of a diffraction problem with a thin layer	0
The homogeneous causal action principle on a compact domain in momentum space	0
The Neumann and Dirichlet problems for the total variation flow in metric measure spaces	0
Upper semicontinuity of index plus nullity for minimal and CMC hypersurfaces	0
Convergence of a heterogeneous Allen–Cahn equation to weighted mean curvature flow	0
Frontmatter	0
Interior and boundary regularity results for strongly nonhomogeneousp,q-fractional problems	0
Boundary behavior of solutions to fractional p-Laplacian equation	0
Frontmatter	0
Struwe’s global compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group	0
The best approximation of a given function in L ²-norm by Lipschitz functions with gradient constraint	0
Prescribing Morse scalar curvatures: Critical points at infinity	0
On functions of bounded β-dimensional mean oscillation	0
Degenerate parabolic p-Laplacian equations: Existence, uniqueness, and asymptotic behavior of solutions	0
Poincaré inequality and energy of separating sets	0
Frontmatter	0
Wolff potentials and local behavior of solutions to elliptic problems with Orlicz growth and measure data	0
Frontmatter	0
Uniqueness for volume-constraint local energy-minimizing sets in a half-space or a ball	0
Optimal transport with nonlinear mobilities: A deterministic particle approximation result	0
Hölder regularity for the fractional p-Laplacian, revisited	0
No breathers theorem for noncompact harmonic Ricci flows with asymptotically nonnegative Ricci curvature	0
Zaremba problem with degenerate weights	0
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity	0
Flat flow solution to the mean curvature flow with volume constraint	0
Integral representation of local functionals depending on vector fields	0
Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian	0
A twist in sharp Sobolev inequalities with lower order remainder terms	0
Linearization in magnetoelasticity	0
Point-wise characterizations of limits of planar Sobolev homeomorphisms and their quasi-monotonicity	0
Minimizing movements for anisotropic and inhomogeneous mean curvature flows	0
In memoriam Emmanuele DiBenedetto (1947–2021)	0
Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case	0
Minimizers of 3D anisotropic interaction energies	0
Characterization of sets of finite local and non-local perimeter via non-local heat equation	0
On the Almgren minimality of the product of a paired calibrated set and a calibrated manifold of codimension 1	0
Fractional Poincaré and localized Hardy inequalities on metric spaces	0
The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems	0
A note on indecomposable sets of finite perimeter	0
Stepanov differentiability theorem for intrinsic graphs in Heisenberg groups	0
Harnack inequality for parabolic equations with coefficients depending on time	0
The least gradient problem with Dirichlet and Neumann boundary conditions	0
Avoidance of the Lavrentiev gap for one-dimensional non-autonomous functionals with constraints	0
Frontmatter	0
On the regularity of optimal potentials in control problems governed by elliptic equations	0
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes	0
Two-dimensional graph model for epitaxial crystal growth with adatoms	0
Universality of renormalisable mappings in two dimensions: the case of polar convex integrands	0
Area formula for regular submanifolds of low codimension in Heisenberg groups	0
Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains	0
The fractional Hopf differential and a weak formulation of stationarity for the half Dirichlet energy	0
Free boundary regularity in the fully nonlinear parabolic thin obstacle problem	0
Sub-elliptic boundary value problems in flag domains	0
A characterization of ℓ₁ double bubbles with general interface interaction	0
Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities	0
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions	0
On the L ¹-relaxed area of graphs of BV piecewise constant maps taking three values	0
A variational approach to the Navier–Stokes equations with shear-dependent viscosity	0
Frontmatter	0
On master test plans for the space of BV functions	0
The weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth	0
Global existence for the Willmore flow with boundary via Simon’s Li–Yau inequality	0
A weakly coupled system of p-Laplace type in a heat conduction problem	0
A singular Yamabe problem on manifolds with solid cones	0
Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere	0
Frontmatter	0
Regularity results for an optimal design problem with lower order terms	0
On the existence of canonical multi-phase Brakke flows	0