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 2020-04-01 to 2024-04-01.)

Article	Citations
Vanishing John–Nirenberg spaces	12
Existence for singular critical exponential (?, ?) equations in the Heisenberg group	8
Interior and boundary regularity results for strongly nonhomogeneousp,q-fractional problems	7
Equivalence between distributional and viscosity solutions for the double-phase equation	7
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
A Li–Yau inequality for the 1-dimensional Willmore energy	6
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
Causal variational principles in the σ-locally compact setting: Existence of minimizers	5
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
Convergence of solutions of Hamilton–Jacobi equations depending nonlinearly on the unknown function	4
Prescribing Morse scalar curvatures: Critical points at infinity	4
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
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
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
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