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 2020-11-01 to 2024-11-01.)

Article	Citations
Vanishing John–Nirenberg spaces	13
Lipschitz bounds for integral functionals with (p,q)-growth conditions	10
Lipschitz regularity for degenerate elliptic integrals with ?, ?-growth	10
Existence for singular critical exponential (?, ?) equations in the Heisenberg group	9
Interior and boundary regularity results for strongly nonhomogeneousp,q-fractional problems	8
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions	7
Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian	7
A Li–Yau inequality for the 1-dimensional Willmore energy	7
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	6
No Lavrentiev gap for some double phase integrals	6
Pansu–Wulff shapes in ℍ¹	5
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	5
Gradient estimates for an orthotropic nonlinear diffusion equation	5
Fractional Poincaré and localized Hardy inequalities on metric spaces	4
Concavity properties for solutions to p-Laplace equations with concave nonlinearities	4
Prescribing Morse scalar curvatures: Critical points at infinity	4
On the existence of canonical multi-phase Brakke flows	4
Rectifiability of entropy defect measures in a micromagnetics model	4
A strict inequality for the minimization of the Willmore functional under isoperimetric constraint	4
Regularity results for a class of widely degenerate parabolic equations	4
Convergence of solutions of Hamilton–Jacobi equations depending nonlinearly on the unknown function	4
Dimension estimates for the boundary of planar Sobolev extension domains	4
Integral representation for energies in linear elasticity with surface discontinuities	3
The local structure of the free boundary in the fractional obstacle problem	3
The Neumann and Dirichlet problems for the total variation flow in metric measure spaces	3

Non-local BV functions and a denoising model with L ¹ fidelity	3
Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity	3
Minimality of balls in the small volume regime for a general Gamow-type functional	3
Intrinsic scaling method for doubly nonlinear parabolic equations and its application	3
The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains	3
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	3
A speed preserving Hilbert gradient flow for generalized integral Menger curvature	3
Homogenization of high-contrast composites under differential constraints	3
(BV,L^p)-decomposition,p= 1,2, of functions in metric random walk spaces	2
Compactness of ?-uniform domains and optimal thermal insulation problems	2
A split special Lagrangian calibration associated with frame vorticity	2
Integral representation of local functionals depending on vector fields	2
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	2
Sobolev embeddings and distance functions	2
The sharp quantitative isocapacitary inequality (the case of p-capacity)	2
A finer singular limit of a single-well Modica–Mortola functional and its applications to the Kobayashi–Warren–Carter energy	2
Extremals in nonlinear potential theory	2
Gamma-convergence of Gaussian fractional perimeter	2
A generalized fractional Pohozaev identity and applications	2
A partially overdetermined problem in domains with partial umbilical boundary in space forms	2
Generalized principal eigenvalues of convex nonlinear elliptic operators in ℝ^N	2
Hierarchy structures in finite index CMC surfaces	2
Bilateral estimates of solutions to quasilinear elliptic equations with sub-natural growth terms	2
Stability from rigidity via umbilicity	1
Approximation of the Willmore energy by a discrete geometry model	1
High order curvature flows of plane curves with generalised Neumann boundary conditions	1
The homogeneous causal action principle on a compact domain in momentum space	1
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains	1
On the behavior of the first eigenvalue of thep-Laplacian with Robin boundary conditions aspgoes to 1	1
Optimal Łojasiewicz–Simon inequalities and Morse–Bott Yang–Mills energy functions	1
Regularity results for an optimal design problem with lower order terms	1
Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities	1
Morse theory and the calculus of variations	1
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group	1
Characterization of the subdifferential and minimizers for the anisotropic p-capacity	1
Minimizing movements for anisotropic and inhomogeneous mean curvature flows	1
On the Almgren minimality of the product of a paired calibrated set and a calibrated manifold of codimension 1	1
A new proof of compactness in G(S)BD	1
Sub-elliptic boundary value problems in flag domains	1
BV and Sobolev homeomorphisms between metric measure spaces and the plane	1
Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity	1
On master test plans for the space of BV functions	1
On the structure of divergence-free measures on ℝ²	1
A twist in sharp Sobolev inequalities with lower order remainder terms	1
Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities	1
Area formula for regular submanifolds of low codimension in Heisenberg groups	1
Equilibrium measure for a nonlocal dislocation energy with physical confinement	1
Interpolation inequalities for partial regularity	1
Another proof of the existence of homothetic solitons of the inverse mean curvature flow	0
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	0

p-harmonic functions by way of intrinsic mean value properties	0
The first Grushin eigenvalue on cartesian product domains	0
On the Hölder regularity of all extrema in Hilbert’s 19th Problem	0
A Weierstrass extremal field theory for the fractional Laplacian	0
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes	0
Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters	0
Frontmatter	0
Avoidance of the Lavrentiev gap for one-dimensional non-autonomous functionals with constraints	0
On functions of bounded β-dimensional mean oscillation	0
A flow approach to the prescribed Gaussian curvature problem in ℍ^?+1	0
On the behavior in time of the solutions to total variation flow	0
On the regularity of optimal potentials in control problems governed by elliptic equations	0
A note on indecomposable sets of finite perimeter	0
On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary	0
A characterization of gauge balls in ℍⁿ by horizontal curvature	0
Free boundary regularity in the fully nonlinear parabolic thin obstacle problem	0
HW^2,2 _loc-regularity for p-harmonic functions in Heisenberg groups	0
Functional inequalities and applications to doubly nonlinear diffusion equations	0
Frontmatter	0
The best approximation of a given function in L ²-norm by Lipschitz functions with gradient constraint	0
Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient	0
Minimizers of 3D anisotropic interaction energies	0
Stability of the ball under volume preserving fractional mean curvature flow	0
Frontmatter	0
Frontmatter	0
On sub-Riemannian geodesic curvature in dimension three	0
In memoriam Emmanuele DiBenedetto (1947–2021)	0
Wolff potentials and local behavior of solutions to elliptic problems with Orlicz growth and measure data	0
Optimal transport with nonlinear mobilities: A deterministic particle approximation result	0
The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points	0
An inequality for the normal derivative of the Lane–Emden ground state	0
Properties of the free boundaries for the obstacle problem of the porous medium equations	0
Frontmatter	0
Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere	0
Solutions of the (free boundary) Reifenberg Plateau problem	0
Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains	0
A singular Yamabe problem on manifolds with solid cones	0
No breathers theorem for noncompact harmonic Ricci flows with asymptotically nonnegative Ricci curvature	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
Frontmatter	0
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity	0
The L_p Minkowski problem for q-torsional rigidity	0
On the interior regularity criteria for the viscoelastic fluid system with damping	0
Stationary sets of the mean curvature flow with a forcing term	0
Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds	0
A sub-Riemannian maximum modulus theorem	0
Quasiconformal, Lipschitz, and BV mappings in metric spaces	0
Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strain	0
Frontmatter	0
Frontmatter	0
On some variational problems involving capacity, torsional rigidity, perimeter and measure	0
A weakly coupled system of p-Laplace type in a heat conduction problem	0
Frontmatter	0
Generalized minimizing movements for the varifold Canham–Helfrich flow	0
Discrete approximation of nonlocal-gradient energies	0
Sobolev contractivity of gradient flow maximal functions	0
Frontmatter	0
Harnack inequality for parabolic equations with coefficients depending on time	0
Frontmatter	0
On prescribing the number of singular points in a Cosserat-elastic solid	0
Frontmatter	0
Relaxed many-body optimal transport and related asymptotics	0
On the L ¹-relaxed area of graphs of BV piecewise constant maps taking three values	0
Flat flow solution to the mean curvature flow with volume constraint	0
Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case	0
Uniqueness for volume-constraint local energy-minimizing sets in a half-space or a ball	0
Frontmatter	0
Monotonicity of entire solutions to reaction-diffusion equations involving fractional p-Laplacian	0
The 2+1-convex hull of a~finite set	0
Remarks on the vanishing discount problem for infinite systems of Hamilton–Jacobi–Bellman equations	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
Causal variational principles in the infinite-dimensional setting: Existence of minimizers	0
On isosupremic vectorial minimisation problems in L ^∞ with general nonlinear constraints	0
Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects	0
Frontmatter	0
Frontmatter	0