OOIR: Observatory of International Research

Papers

(The median citation count of Advances in Calculus of Variations is 1. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Vanishing John–Nirenberg spaces	12
Existence for singular critical exponential (?, ?) equations in the Heisenberg group	8
Lipschitz regularity for degenerate elliptic integrals with ?, ?-growth	7
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions	7
Interior and boundary regularity results for strongly nonhomogeneousp,q-fractional problems	7
Equivalence between distributional and viscosity solutions for the double-phase equation	7
A Li–Yau inequality for the 1-dimensional Willmore energy	6
Causal variational principles in the σ-locally compact setting: Existence of minimizers	5
Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian	5
Lipschitz bounds for integral functionals with (p,q)-growth conditions	5
Gradient estimates for an orthotropic nonlinear diffusion equation	5
Convergence of solutions of Hamilton–Jacobi equations depending nonlinearly on the unknown function	4
Prescribing Morse scalar curvatures: Critical points at infinity	4
Rectifiability of entropy defect measures in a micromagnetics model	4
Dimension estimates for the boundary of planar Sobolev extension domains	4
On the existence of canonical multi-phase Brakke flows	4
A strict inequality for the minimization of the Willmore functional under isoperimetric constraint	4
Pansu–Wulff shapes in ℍ¹	3
On a comparison principle for Trudinger’s equation	3
Intrinsic scaling method for doubly nonlinear parabolic equations and its application	3
Integral representation for energies in linear elasticity with surface discontinuities	3
Minkowski inequalities and constrained inverse curvature flows in warped spaces	3
The Neumann and Dirichlet problems for the total variation flow in metric measure spaces	3
Michell truss type theories as a Γ-limit of optimal design in linear elasticity	3
Concavity properties for solutions to p-Laplace equations with concave nonlinearities	3

Homogenization of quadratic convolution energies in periodically perforated domains	3
Pairings between bounded divergence-measure vector fields and BV functions	3
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	2
A speed preserving Hilbert gradient flow for generalized integral Menger curvature	2
Minimality of balls in the small volume regime for a general Gamow-type functional	2
The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains	2
Fractional Poincaré and localized Hardy inequalities on metric spaces	2
A generalized fractional Pohozaev identity and applications	2
Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity	2
Compactness of ?-uniform domains and optimal thermal insulation problems	2
New features of the first eigenvalue on negatively curved spaces	2
Generalized principal eigenvalues of convex nonlinear elliptic operators in ℝ^N	2
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	2
Hierarchy structures in finite index CMC surfaces	2
Long-time behaviour of solutions to an evolution PDE with nonstandard growth	2
Gamma-convergence of Gaussian fractional perimeter	2
Optimal regularity of stable solutions to nonlinear equations involving the p-Laplacian	2
A finer singular limit of a single-well Modica–Mortola functional and its applications to the Kobayashi–Warren–Carter energy	2
Integral representation of local functionals depending on vector fields	2
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	2
The local structure of the free boundary in the fractional obstacle problem	2
Non-local BV functions and a denoising model with L ¹ fidelity	2
Bilateral estimates of solutions to quasilinear elliptic equations with sub-natural growth terms	2
Limit of ?-Laplacian obstacle problems	2
The sharp quantitative isocapacitary inequality (the case of p-capacity)	2
A split special Lagrangian calibration associated with frame vorticity	2
On master test plans for the space of BV functions	1
On the structure of divergence-free measures on ℝ²	1
A partially overdetermined problem in domains with partial umbilical boundary in space forms	1
Equilibrium measure for a nonlocal dislocation energy with physical confinement	1
Sub-elliptic boundary value problems in flag domains	1
Extremals in nonlinear potential theory	1
Regularity results for a class of widely degenerate parabolic equations	1
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	1
Morse theory and the calculus of variations	1
High order curvature flows of plane curves with generalised Neumann boundary conditions	1
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains	1
The homogeneous causal action principle on a compact domain in momentum space	1
On the behavior of the first eigenvalue of thep-Laplacian with Robin boundary conditions aspgoes to 1	1
Homogenization of high-contrast composites under differential constraints	1
Constant Q-curvature metrics on conic 4-manifolds	1
A note on Kazdan–Warner equation on networks	1
(BV,L^p)-decomposition,p= 1,2, of functions in metric random walk spaces	1
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	1
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group	1
On the Almgren minimality of the product of a paired calibrated set and a calibrated manifold of codimension 1	1
Optimal Łojasiewicz–Simon inequalities and Morse–Bott Yang–Mills energy functions	1
A new proof of compactness in G(S)BD	1
No Lavrentiev gap for some double phase integrals	1
Borderline regularity for fully nonlinear equations in Dini domains	1

Connected perimeter of planar sets	1
On functions of bounded β-dimensional mean oscillation	1
Sobolev embeddings and distance functions	1