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 2021-11-01 to 2025-11-01.)

Article	Citations
A Weierstrass extremal field theory for the fractional Laplacian	16
On some variational problems involving capacity, torsional rigidity, perimeter and measure	16
Hierarchy structures in finite index CMC surfaces	14
Sobolev contractivity of gradient flow maximal functions	9
Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum	9
Relaxed many-body optimal transport and related asymptotics	8
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian	8
On the interior regularity criteria for the viscoelastic fluid system with damping	8
The L ¹-relaxed area of the graph of the vortex map: Optimal upper bound	7
On the behavior of the first eigenvalue of thep-Laplacian with Robin boundary conditions aspgoes to 1	6
On a class of obstacle problems with (p, q)-growth and explicit u-dependence	6
Quasiconformal, Lipschitz, and BV mappings in metric spaces	6
A split special Lagrangian calibration associated with frame vorticity	6
Stability of the ball under volume preserving fractional mean curvature flow	5
On the second eigenvalue of the infinity Laplacian with Robin boundary conditions	5
Frontmatter	5
Harnack inequality for degenerate elliptic equations with matrix weights	5
Frontmatter	5
Quantitative C ¹-stability of spheres in rank one symmetric spaces of non-compact type	4
Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds	4
The 2+1-convex hull of a~finite set	4
Frontmatter	4
Homogenization of high-contrast composites under differential constraints	4
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity	4
Functional inequalities and applications to doubly nonlinear diffusion equations	4

A continuous model of transportation in the Heisenberg group	3
The L_p Minkowski problem for q-torsional rigidity	3
Characterization of the subdifferential and minimizers for the anisotropic p-capacity	3
An elliptic approximation for phase separation in a fractured material	3
Dimension estimates for the boundary of planar Sobolev extension domains	3
The first Grushin eigenvalue on cartesian product domains	3
On the behavior in time of the solutions to total variation flow	3
Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient	3
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
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains	2
On prescribing the number of singular points in a Cosserat-elastic solid	2
Gradient estimates for an orthotropic nonlinear diffusion equation	2
Smooth approximations for constant-mean-curvature hypersurfaces with isolated singularities	2
Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity	2
Monotonicity of entire solutions to reaction-diffusion equations involving fractional p-Laplacian	2
On isosupremic vectorial minimisation problems in L ^∞ with general nonlinear constraints	2
The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points	2
On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary	2
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	2
Stability from rigidity via umbilicity	2
No Lavrentiev gap for some double phase integrals	2
On the variational nature of the Anzellotti pairing	2
Discrete approximation of nonlocal-gradient energies	2
A new proof of compactness in G(S)BD	2
A speed preserving Hilbert gradient flow for generalized integral Menger curvature	2
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	2
A sub-Riemannian maximum modulus theorem	2
Frontmatter	1
Existence theory for linear-growth variational integrals with signed measure data	1
A partially overdetermined problem in domains with partial umbilical boundary in space forms	1
Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity	1
Lipschitz bounds for integral functionals with (p,q)-growth conditions	1
Another proof of the existence of homothetic solitons of the inverse mean curvature flow	1
Flat flow solution to the mean curvature flow with volume constraint	1
Frontmatter	1
Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries	1
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	1
Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters	1
Frontmatter	1
A simple proof of the 1-dimensional flat chain conjecture	1
Interpolation inequalities for partial regularity	1
Iterative blow-ups for maps with bounded ????-variation: A refinement, with application to BD and BV	1
Parabolic Lipschitz truncation for multi-phase problems: The degenerate case	1
Sobolev embeddings and distance functions	1
Concavity properties for solutions to p-Laplace equations with concave nonlinearities	1
A characterization of gauge balls in ℍⁿ by horizontal curvature	1
A discrete crystal model in three dimensions: The line-tension limit for dislocations	1
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions	1
Properties of the free boundaries for the obstacle problem of the porous medium equations	1

A generalized fractional Pohozaev identity and applications	1
A Sobolev gradient flow for the area-normalised Dirichlet energy of H ¹ maps	1
Frontmatter	1
Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities	1
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space	1
Generalized minimizing movements for the varifold Canham–Helfrich flow	1