Advances in Calculus of Variations

Article	Citations
Hierarchy structures in finite index CMC surfaces	15
On some variational problems involving capacity, torsional rigidity, perimeter and measure	15
Sobolev contractivity of gradient flow maximal functions	14
A Weierstrass extremal field theory for the fractional Laplacian	13
Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum	9
The L 1-relaxed area of the graph of the vortex map: Optimal upper bound	9
On the interior regularity criteria for the viscoelastic fluid system with damping	9
Frontmatter	9
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	8
Stationary sets of the mean curvature flow with a forcing term	8
On the behavior of the first eigenvalue of thep-Laplacian with Robin boundary conditions aspgoes to 1	7
On a class of obstacle problems with (p, q)-growth and explicit u-dependence	6
Relaxed many-body optimal transport and related asymptotics	6
A strict inequality for the minimization of the Willmore functional under isoperimetric constraint	6
Approximation of the Willmore energy by a discrete geometry model	5
Frontmatter	5
A split special Lagrangian calibration associated with frame vorticity	5
Quasiconformal, Lipschitz, and BV mappings in metric spaces	5
Frontmatter	5
Functional inequalities and applications to doubly nonlinear diffusion equations	4
Homogenization of high-contrast composites under differential constraints	4
The 2+1-convex hull of a~finite set	4
Stability of the ball under volume preserving fractional mean curvature flow	4
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	4
Quantitative C 1-stability of spheres in rank one symmetric spaces of non-compact type	4

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

Frontmatter	1
Sobolev embeddings and distance functions	1
A generalized fractional Pohozaev identity and applications	1
Regularity results for an optimal design problem with lower order terms	0
No breathers theorem for noncompact harmonic Ricci flows with asymptotically nonnegative Ricci curvature	0
Gamma-convergence of Gaussian fractional perimeter	0
Frontmatter	0
A Li–Yau inequality for the 1-dimensional Willmore energy	0
Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities	0
Poincaré inequality and energy of separating sets	0
On the L 1-relaxed area of graphs of BV piecewise constant maps taking three values	0
Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere	0
Morse theory and the calculus of variations	0
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group	0
Sub-elliptic boundary value problems in flag domains	0
A variational approach to the Navier–Stokes equations with shear-dependent viscosity	0
Interpolation inequalities for partial regularity	0
Characterization of sets of finite local and non-local perimeter via non-local heat equation	0
Prescribing Morse scalar curvatures: Critical points at infinity	0
Regularity results for a class of widely degenerate parabolic equations	0
Frontmatter	0
Degenerate parabolic p-Laplacian equations: Existence, uniqueness, and asymptotic behavior of solutions	0
A twist in sharp Sobolev inequalities with lower order remainder terms	0
Two-dimensional graph model for epitaxial crystal growth with adatoms	0
Zaremba problem with degenerate weights	0
On the existence of canonical multi-phase Brakke flows	0
HW2,2 loc-regularity for p-harmonic functions in Heisenberg groups	0
Fractional Poincaré and localized Hardy inequalities on metric spaces	0
Optimal transport with nonlinear mobilities: A deterministic particle approximation result	0
Frontmatter	0
Area formula for regular submanifolds of low codimension in Heisenberg groups	0
Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term	0
Wolff potentials and local behavior of solutions to elliptic problems with Orlicz growth and measure data	0
Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains	0
Causal variational principles in the infinite-dimensional setting: Existence of minimizers	0
The Neumann and Dirichlet problems for the total variation flow in metric measure spaces	0
Flat flow solution to the mean curvature flow with volume constraint	0
Minimizing movements for anisotropic and inhomogeneous mean curvature flows	0
A characterization of ℓ1 double bubbles with general interface interaction	0
Interior and boundary regularity results for strongly nonhomogeneousp,q-fractional problems	0
In memoriam Emmanuele DiBenedetto (1947–2021)	0
A finer singular limit of a single-well Modica–Mortola functional and its applications to the Kobayashi–Warren–Carter energy	0
Frontmatter	0
Stepanov differentiability theorem for intrinsic graphs in Heisenberg groups	0
Frontmatter	0
On the Almgren minimality of the product of a paired calibrated set and a calibrated manifold of codimension 1	0
The best approximation of a given function in L 2-norm by Lipschitz functions with gradient constraint	0
The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems	0
The fractional Hopf differential and a weak formulation of stationarity for the half Dirichlet energy	0
Intrinsic scaling method for doubly nonlinear parabolic equations and its application	0
Minimizers of 3D anisotropic interaction energies	0
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions	0
Minimality of balls in the small volume regime for a general Gamow-type functional	0
An inequality for the normal derivative of the Lane–Emden ground state	0
Frontmatter	0
On the Hölder regularity of all extrema in Hilbert’s 19th Problem	0
Uniqueness for volume-constraint local energy-minimizing sets in a half-space or a ball	0
BV and Sobolev homeomorphisms between metric measure spaces and the plane	0
Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian	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
On the asymptotic behavior of a diffraction problem with a thin layer	0
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes	0
Linearization in magnetoelasticity	0
Hölder regularity for the fractional p-Laplacian, revisited	0
Boundary behavior of solutions to fractional p-Laplacian equation	0
Point-wise characterizations of limits of planar Sobolev homeomorphisms and their quasi-monotonicity	0
Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case	0
The homogeneous causal action principle on a compact domain in momentum space	0
On functions of bounded β-dimensional mean oscillation	0
Upper semicontinuity of index plus nullity for minimal and CMC hypersurfaces	0
Struwe’s global compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group	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
A note on indecomposable sets of finite perimeter	0
Free boundary regularity in the fully nonlinear parabolic thin obstacle problem	0
Frontmatter	0
Harnack inequality for parabolic equations with coefficients depending on time	0

Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity	0
On master test plans for the space of BV functions	0
Non-local BV functions and a denoising model with L 1 fidelity	0
Integral representation of local functionals depending on vector fields	0
On the regularity of optimal potentials in control problems governed by elliptic equations	0