OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Calculus of Variations is 2. 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
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
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions	7
No Lavrentiev gap for some double phase integrals	6
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	6
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	5
Gradient estimates for an orthotropic nonlinear diffusion equation	5
Pansu–Wulff shapes in ℍ¹	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
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
(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