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 2022-08-01 to 2026-08-01.)

Article	Citations
A Weierstrass extremal field theory for the fractional Laplacian	20
Hierarchy structures in finite index CMC surfaces	13
Sobolev contractivity of gradient flow maximal functions	12
The L ¹ -relaxed area of the graph of the vortex map: Optimal upper bound	9
Relaxed many-body optimal transport and related asymptotics	9
Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum	8
Overdetermined fractional Serrin problem	8
On the interior regularity criteria for the viscoelastic fluid system with damping	8
A split special Lagrangian calibration associated with frame vorticity	7
The infinity-potential in the square	6
On a class of obstacle problems with (p, q)-growth and explicit u-dependence	6
On the second eigenvalue of the infinity Laplacian with Robin boundary conditions	5
Frontmatter	4
Stability of the ball under volume preserving fractional mean curvature flow	4
Continuity of critical points for 1-dimensional non-local energies	4
Frontmatter	4
Quasiconformal, Lipschitz, and BV mappings in metric spaces	4
Harnack inequality for degenerate elliptic equations with matrix weights	4
Homogenization of high-contrast composites under differential constraints	3
Functional inequalities and applications to doubly nonlinear diffusion equations	3
Characterization of the subdifferential and minimizers for the anisotropic p-capacity	3
A continuous model of transportation in the Heisenberg group	3
The L_p Minkowski problem for q-torsional rigidity	3
Quantitative C ¹-stability of spheres in rank one symmetric spaces of non-compact type	3
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	3

The 2+1-convex hull of a~finite set	3
Frontmatter	3
Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient	3
Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds	3
Frontmatter	3
On the behavior in time of the solutions to total variation flow	3
An elliptic approximation for phase separation in a fractured material	3
On the variational nature of the Anzellotti pairing	2
Frontmatter	2
On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary	2
Frontmatter	2
Smooth approximations for constant-mean-curvature hypersurfaces with isolated singularities	2
A sub-Riemannian maximum modulus theorem	2
Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strain	2
A flow approach to the prescribed Gaussian curvature problem in ℍ^????+1	2
Gradient Riesz potential estimates for a general class of measure data quasilinear systems	2
Stability from rigidity via umbilicity	2
The first Grushin eigenvalue on cartesian product domains	2
Metabelian distributions and sub-Riemannian geodesics	2
No Lavrentiev gap for some double phase integrals	2
On prescribing the number of singular points in a Cosserat-elastic solid	2
Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity	2
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	2
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	2
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions	1
A discrete crystal model in three dimensions: The line-tension limit for dislocations	1
Existence theory for linear-growth variational integrals with signed measure data	1
Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity	1
Flat flow solution to the mean curvature flow with volume constraint	1
Iterative blow-ups for maps with bounded ????-variation: A refinement, with application to BD and BV	1
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space	1
Sobolev embeddings and distance functions	1
A characterization of gauge balls in ℍⁿ by horizontal curvature	1
A corrected proof of the graphical representation of a class of curvature varifolds by C ^1,α multiple valued functions	1
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	1
On isosupremic vectorial minimisation problems in L ^∞ with general nonlinear constraints	1
The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points	1
Frontmatter	1
Compactness of Palais–Smale sequences with controlled Morse index for a Liouville-type functional	1
A Sobolev gradient flow for the area-normalised Dirichlet energy of H ¹ maps	1
Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities	1
Parabolic Lipschitz truncation for multi-phase problems: The degenerate case	1
A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff–Love plates	1
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains	1
Discrete approximation of nonlocal-gradient energies	1
Monotonicity of entire solutions to reaction-diffusion equations involving fractional p-Laplacian	1
Properties of the free boundaries for the obstacle problem of the porous medium equations	1
Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries	1
Another proof of the existence of homothetic solitons of the inverse mean curvature flow	1
Frontmatter	1

A generalized fractional Pohozaev identity and applications	1
Lipschitz regularity for almost minimizers of a one-phase p -Bernoulli-type functional in Carnot groups of step two	1
Generalized minimizing movements for the varifold Canham–Helfrich flow	1
Frontmatter	1
Regularity for the normalized p -Laplacian equation with an arbitrary degeneracy law	1
Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters	1