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 2021-09-01 to 2025-09-01.)

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

Functional inequalities and applications to doubly nonlinear diffusion equations	4
The L_p Minkowski problem for q-torsional rigidity	3
An elliptic approximation for phase separation in a fractured material	3
On the behavior in time of the solutions to total variation flow	3
Lipschitz regularity for degenerate elliptic integrals with ????, ????-growth	3
The first Grushin eigenvalue on cartesian product domains	3
Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient	3
A continuous model of transportation in the Heisenberg group	3
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 the variational nature of the Anzellotti pairing	2
Stability from rigidity via umbilicity	2
No Lavrentiev gap for some double phase integrals	2
On prescribing the number of singular points in a Cosserat-elastic solid	2
A speed preserving Hilbert gradient flow for generalized integral Menger curvature	2
Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters	2
Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets	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 new proof of compactness in G(S)BD	2
The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points	2
Monotonicity of entire solutions to reaction-diffusion equations involving fractional p-Laplacian	2
Gradient estimates for an orthotropic nonlinear diffusion equation	2
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	2
Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity	2
On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary	2
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	1
Generalized minimizing movements for the varifold Canham–Helfrich flow	1
A simple proof of the 1-dimensional flat chain conjecture	1
Struwe’s global compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group	1
Another proof of the existence of homothetic solitons of the inverse mean curvature flow	1
Parabolic Lipschitz truncation for multi-phase problems: The degenerate case	1
Frontmatter	1
Frontmatter	1
A characterization of gauge balls in ℍⁿ by horizontal curvature	1
Discrete approximation of nonlocal-gradient energies	1
Properties of the free boundaries for the obstacle problem of the porous medium equations	1
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions	1
Sobolev embeddings and distance functions	1
Interpolation inequalities for partial regularity	1
Iterative blow-ups for maps with bounded ????-variation: A refinement, with application to BD and BV	1
Frontmatter	1
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space	1
Lipschitz bounds for integral functionals with (p,q)-growth conditions	1
Frontmatter	1
On isosupremic vectorial minimisation problems in L ^∞ with general nonlinear constraints	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
Concavity properties for solutions to p-Laplace equations with concave nonlinearities	1
A Sobolev gradient flow for the area-normalised Dirichlet energy of H ¹ maps	1

Flat flow solution to the mean curvature flow with volume constraint	1
Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities	1
A generalized fractional Pohozaev identity and applications	1
Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries	1
A discrete crystal model in three dimensions: The line-tension limit for dislocations	1