Advances in Calculus of Variations

Article	Citations
A Weierstrass extremal field theory for the fractional Laplacian	12
Gradient estimates for an orthotropic nonlinear diffusion equation	12
Sobolev contractivity of gradient flow maximal functions	10
Hierarchy structures in finite index CMC surfaces	10
Wolff potentials and local behavior of solutions to elliptic problems with Orlicz growth and measure data	9
Frontmatter	8
On some variational problems involving capacity, torsional rigidity, perimeter and measure	8
Another proof of the existence of homothetic solitons of the inverse mean curvature flow	8
Minimizers of 3D anisotropic interaction energies	7
Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects	7
BV and Sobolev homeomorphisms between metric measure spaces and the plane	5
Homogenization of high-contrast composites under differential constraints	5
Regularity results for an optimal design problem with lower order terms	5
Frontmatter	4
Functional inequalities and applications to doubly nonlinear diffusion equations	4
Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strain	4
Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds	4
Remarks on the vanishing discount problem for infinite systems of Hamilton–Jacobi–Bellman equations	4
Intrinsic scaling method for doubly nonlinear parabolic equations and its application	4
Non-local BV functions and a denoising model with L 1 fidelity	4
Stationary sets of the mean curvature flow with a forcing term	4
No Lavrentiev gap for some double phase integrals	4
Frontmatter	4
Avoidance of the Lavrentiev gap for one-dimensional non-autonomous functionals with constraints	3
HW2,2 loc-regularity for p-harmonic functions in Heisenberg groups	3

A new proof of compactness in G(S)BD	3
A speed preserving Hilbert gradient flow for generalized integral Menger curvature	3
On the behavior of the first eigenvalue of thep-Laplacian with Robin boundary conditions aspgoes to 1	3
The 2+1-convex hull of a~finite set	3
Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian	3
Area formula for regular submanifolds of low codimension in Heisenberg groups	3
Sub-elliptic boundary value problems in flag domains	3
Quantitative C 1-stability of spheres in rank one symmetric spaces of non-compact type	3
The Neumann and Dirichlet problems for the total variation flow in metric measure spaces	3
Relaxed many-body optimal transport and related asymptotics	2
Interpolation inequalities for partial regularity	2
On the regularity of optimal potentials in control problems governed by elliptic equations	2
Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains	2
On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary	2
Flat flow solution to the mean curvature flow with volume constraint	2
A flow approach to the prescribed Gaussian curvature problem in ℍ????+1	2
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	2
Monotonicity of entire solutions to reaction-diffusion equations involving fractional p-Laplacian	2
Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term	2
On the Almgren minimality of the product of a paired calibrated set and a calibrated manifold of codimension 1	1
A strict inequality for the minimization of the Willmore functional under isoperimetric constraint	1
Free boundary regularity in the fully nonlinear parabolic thin obstacle problem	1
On prescribing the number of singular points in a Cosserat-elastic solid	1
No breathers theorem for noncompact harmonic Ricci flows with asymptotically nonnegative Ricci curvature	1
Integral representation of local functionals depending on vector fields	1
Properties of the free boundaries for the obstacle problem of the porous medium equations	1
Prescribing Morse scalar curvatures: Critical points at infinity	1
Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere	1
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	1
On the interior regularity criteria for the viscoelastic fluid system with damping	1
Minimality of balls in the small volume regime for a general Gamow-type functional	1
Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum	1
Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters	1
On the Hölder regularity of all extrema in Hilbert’s 19th Problem	1
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains	1
Two-dimensional graph model for epitaxial crystal growth with adatoms	1
Struwe’s global compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group	1
Uniqueness for volume-constraint local energy-minimizing sets in a half-space or a ball	1
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity	1
Harnack inequality for parabolic equations with coefficients depending on time	1
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions	0
Frontmatter	0
A finer singular limit of a single-well Modica–Mortola functional and its applications to the Kobayashi–Warren–Carter energy	0
On the behavior in time of the solutions to total variation flow	0
Approximation of the Willmore energy by a discrete geometry model	0
Frontmatter	0
A split special Lagrangian calibration associated with frame vorticity	0
On master test plans for the space of BV functions	0
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions	0
Frontmatter	0

On functions of bounded β-dimensional mean oscillation	0
A variational approach to the Navier–Stokes equations with shear-dependent viscosity	0
The Lp Minkowski problem for q-torsional rigidity	0
Optimal transport with nonlinear mobilities: A deterministic particle approximation result	0
A Li–Yau inequality for the 1-dimensional Willmore energy	0
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group	0
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes	0
Interior and boundary regularity results for strongly nonhomogeneousp,q-fractional problems	0
An inequality for the normal derivative of the Lane–Emden ground state	0
Stability of the ball under volume preserving fractional mean curvature flow	0
A discrete crystal model in three dimensions: The line-tension limit for dislocations	0
Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities	0
Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities	0
Frontmatter	0
On sub-Riemannian geodesic curvature in dimension three	0
Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient	0
Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries	0
Frontmatter	0
Regularity results for a class of widely degenerate parabolic equations	0
Linearization in magnetoelasticity	0
Gamma-convergence of Gaussian fractional perimeter	0
Dimension estimates for the boundary of planar Sobolev extension domains	0
A weakly coupled system of p-Laplace type in a heat conduction problem	0
Minimizing movements for anisotropic and inhomogeneous mean curvature flows	0
A generalized fractional Pohozaev identity and applications	0
On isosupremic vectorial minimisation problems in L ∞ with general nonlinear constraints	0
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space	0
A note on indecomposable sets of finite perimeter	0
Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity	0
A twist in sharp Sobolev inequalities with lower order remainder terms	0
The first Grushin eigenvalue on cartesian product domains	0
Characterization of the subdifferential and minimizers for the anisotropic p-capacity	0
The sharp quantitative isocapacitary inequality (the case of p-capacity)	0
Generalized minimizing movements for the varifold Canham–Helfrich flow	0
Quasiconformal, Lipschitz, and BV mappings in metric spaces	0
Frontmatter	0
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	0
The fractional Hopf differential and a weak formulation of stationarity for the half Dirichlet energy	0
The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems	0
A sub-Riemannian maximum modulus theorem	0
Frontmatter	0
Causal variational principles in the infinite-dimensional setting: Existence of minimizers	0
A partially overdetermined problem in domains with partial umbilical boundary in space forms	0
Discrete approximation of nonlocal-gradient energies	0
Zaremba problem with degenerate weights	0
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	0
In memoriam Emmanuele DiBenedetto (1947–2021)	0
Frontmatter	0
Poincaré inequality and energy of separating sets	0
Boundary behavior of solutions to fractional p-Laplacian equation	0
Frontmatter	0
Fractional Poincaré and localized Hardy inequalities on metric spaces	0
A characterization of ℓ1 double bubbles with general interface interaction	0
Morse theory and the calculus of variations	0
Lipschitz regularity for degenerate elliptic integrals with ????, ????-growth	0
Hölder regularity for the fractional p-Laplacian, revisited	0
Rectifiability of entropy defect measures in a micromagnetics model	0
On the variational nature of the Anzellotti pairing	0
The homogeneous causal action principle on a compact domain in momentum space	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
Frontmatter	0
The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points	0
The least gradient problem with Dirichlet and Neumann boundary conditions	0
Existence for singular critical exponential (????, ????) equations in the Heisenberg group	0
A characterization of gauge balls in ℍ n by horizontal curvature	0
Frontmatter	0
On the L 1-relaxed area of graphs of BV piecewise constant maps taking three values	0
Pansu–Wulff shapes in ℍ1	0
Lipschitz bounds for integral functionals with (p,q)-growth conditions	0
Stability from rigidity via umbilicity	0
Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case	0
The best approximation of a given function in L 2-norm by Lipschitz functions with gradient constraint	0
A singular Yamabe problem on manifolds with solid cones	0
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	0
On the existence of canonical multi-phase Brakke flows	0
p-harmonic functions by way of intrinsic mean value properties	0
Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity	0
Frontmatter	0
Sobolev embeddings and distance functions	0

Frontmatter	0
Frontmatter	0
Upper semicontinuity of index plus nullity for minimal and CMC hypersurfaces	0
Concavity properties for solutions to p-Laplace equations with concave nonlinearities	0
Point-wise characterizations of limits of planar Sobolev homeomorphisms and their quasi-monotonicity	0
Bilateral estimates of solutions to quasilinear elliptic equations with sub-natural growth terms	0