Advances in Calculus of Variations

Article	Citations
Hierarchy structures in finite index CMC surfaces	14
Sobolev contractivity of gradient flow maximal functions	13
On some variational problems involving capacity, torsional rigidity, perimeter and measure	10
A Weierstrass extremal field theory for the fractional Laplacian	10
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	9
Relaxed many-body optimal transport and related asymptotics	9
Frontmatter	9
On the behavior of the first eigenvalue of thep-Laplacian with Robin boundary conditions aspgoes to 1	9
Stationary sets of the mean curvature flow with a forcing term	9
On the interior regularity criteria for the viscoelastic fluid system with damping	7
Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum	7
On a class of obstacle problems with (p, q)-growth and explicit u-dependence	6
The L 1-relaxed area of the graph of the vortex map: Optimal upper bound	6
A strict inequality for the minimization of the Willmore functional under isoperimetric constraint	5
Pansu–Wulff shapes in ℍ1	5
Quasiconformal, Lipschitz, and BV mappings in metric spaces	5
A split special Lagrangian calibration associated with frame vorticity	5
Quantitative C 1-stability of spheres in rank one symmetric spaces of non-compact type	4
Frontmatter	4
Homogenization of high-contrast composites under differential constraints	4
Frontmatter	4
Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds	4
Stability of the ball under volume preserving fractional mean curvature flow	4
Approximation of the Willmore energy by a discrete geometry model	4
Functional inequalities and applications to doubly nonlinear diffusion equations	3

Frontmatter	3
Frontmatter	3
Dimension estimates for the boundary of planar Sobolev extension domains	3
The 2+1-convex hull of a~finite set	3
Characterization of the subdifferential and minimizers for the anisotropic p-capacity	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
The Lp Minkowski problem for q-torsional rigidity	3
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	2
On the variational nature of the Anzellotti pairing	2
Gradient estimates for an orthotropic nonlinear diffusion equation	2
No Lavrentiev gap for some double phase integrals	2
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
An elliptic approximation for phase separation in a fractured material	2
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	2
A sub-Riemannian maximum modulus theorem	2
Stability from rigidity via umbilicity	2
Generalized minimizing movements for the varifold Canham–Helfrich flow	1
Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries	1
Frontmatter	1
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions	1
Properties of the free boundaries for the obstacle problem of the porous medium equations	1
On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary	1
On prescribing the number of singular points in a Cosserat-elastic solid	1
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains	1
Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity	1
Concavity properties for solutions to p-Laplace equations with concave nonlinearities	1
On isosupremic vectorial minimisation problems in L ∞ with general nonlinear constraints	1
Discrete approximation of nonlocal-gradient energies	1
Monotonicity of entire solutions to reaction-diffusion equations involving fractional p-Laplacian	1
A flow approach to the prescribed Gaussian curvature problem in ℍ????+1	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
Lipschitz bounds for integral functionals with (p,q)-growth conditions	1
Rectifiability of entropy defect measures in a micromagnetics model	1
A characterization of gauge balls in ℍ n by horizontal curvature	1
The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points	1
Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters	1
A speed preserving Hilbert gradient flow for generalized integral Menger curvature	1
A new proof of compactness in G(S)BD	1
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	1
A Li–Yau inequality for the 1-dimensional Willmore energy	0
Zaremba problem with degenerate weights	0
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions	0
Frontmatter	0
Sobolev embeddings and distance functions	0

Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group	0
Regularity results for an optimal design problem with lower order terms	0
Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities	0
Frontmatter	0
Gamma-convergence of Gaussian fractional perimeter	0
Intrinsic scaling method for doubly nonlinear parabolic equations and its application	0
Another proof of the existence of homothetic solitons of the inverse mean curvature flow	0
The best approximation of a given function in L 2-norm by Lipschitz functions with gradient constraint	0
Causal variational principles in the infinite-dimensional setting: Existence of minimizers	0
Area formula for regular submanifolds of low codimension in Heisenberg groups	0
On the Almgren minimality of the product of a paired calibrated set and a calibrated manifold of codimension 1	0
Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere	0
Two-dimensional graph model for epitaxial crystal growth with adatoms	0
A singular Yamabe problem on manifolds with solid cones	0
Morse theory and the calculus of variations	0
Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains	0
Degenerate parabolic p-Laplacian equations: Existence, uniqueness, and asymptotic behavior of solutions	0
Frontmatter	0
Boundary behavior of solutions to fractional p-Laplacian equation	0
Uniqueness for volume-constraint local energy-minimizing sets in a half-space or a ball	0
The homogeneous causal action principle on a compact domain in momentum space	0
Existence for singular critical exponential (????, ????) equations in the Heisenberg group	0
Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities	0
Interior and boundary regularity results for strongly nonhomogeneousp,q-fractional problems	0
Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case	0
A characterization of ℓ1 double bubbles with general interface interaction	0
On the Hölder regularity of all extrema in Hilbert’s 19th Problem	0
Frontmatter	0
Integral representation of local functionals depending on vector fields	0
BV and Sobolev homeomorphisms between metric measure spaces and the plane	0
Frontmatter	0
Frontmatter	0
On the existence of canonical multi-phase Brakke flows	0
Frontmatter	0
The weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth	0
On master test plans for the space of BV functions	0
Avoidance of the Lavrentiev gap for one-dimensional non-autonomous functionals with constraints	0
The least gradient problem with Dirichlet and Neumann boundary conditions	0
A weakly coupled system of p-Laplace type in a heat conduction problem	0
Minimality of balls in the small volume regime for a general Gamow-type functional	0
Global existence for the Willmore flow with boundary via Simon’s Li–Yau inequality	0
Frontmatter	0
Stepanov differentiability theorem for intrinsic graphs in Heisenberg groups	0
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity	0
The sharp quantitative isocapacitary inequality (the case of p-capacity)	0
On functions of bounded β-dimensional mean oscillation	0
The Neumann and Dirichlet problems for the total variation flow in metric measure spaces	0
An inequality for the normal derivative of the Lane–Emden ground state	0
Sub-elliptic boundary value problems in flag domains	0
Interpolation inequalities for partial regularity	0
Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian	0
Harnack inequality for parabolic equations with coefficients depending on time	0
A finer singular limit of a single-well Modica–Mortola functional and its applications to the Kobayashi–Warren–Carter energy	0
Linearization in magnetoelasticity	0
Upper semicontinuity of index plus nullity for minimal and CMC hypersurfaces	0
The fractional Hopf differential and a weak formulation of stationarity for the half Dirichlet energy	0
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes	0
Point-wise characterizations of limits of planar Sobolev homeomorphisms and their quasi-monotonicity	0
Hölder regularity for the fractional p-Laplacian, revisited	0
A generalized fractional Pohozaev identity and applications	0
A twist in sharp Sobolev inequalities with lower order remainder terms	0
Non-local BV functions and a denoising model with L 1 fidelity	0
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space	0
A variational approach to the Navier–Stokes equations with shear-dependent viscosity	0
Fractional Poincaré and localized Hardy inequalities on metric spaces	0
Wolff potentials and local behavior of solutions to elliptic problems with Orlicz growth and measure data	0
Parabolic Lipschitz truncation for multi-phase problems: The degenerate case	0
Regularity results for a class of widely degenerate parabolic equations	0
Optimal transport with nonlinear mobilities: A deterministic particle approximation result	0
Frontmatter	0
Struwe’s global compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group	0
A note on indecomposable sets of finite perimeter	0
Free boundary regularity in the fully nonlinear parabolic thin obstacle problem	0
Prescribing Morse scalar curvatures: Critical points at infinity	0
HW2,2 loc-regularity for p-harmonic functions in Heisenberg groups	0
Minimizers of 3D anisotropic interaction energies	0
The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems	0
Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term	0
Flat flow solution to the mean curvature flow with volume constraint	0
On the regularity of optimal potentials in control problems governed by elliptic equations	0

On the L 1-relaxed area of graphs of BV piecewise constant maps taking three values	0
Frontmatter	0
In memoriam Emmanuele DiBenedetto (1947–2021)	0
Minimizing movements for anisotropic and inhomogeneous mean curvature flows	0
No breathers theorem for noncompact harmonic Ricci flows with asymptotically nonnegative Ricci curvature	0
Poincaré inequality and energy of separating sets	0