Calculus of Variations and Partial Differential Equations

Papers
(The H4-Index of Calculus of Variations and Partial Differential Equations is 20. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions47
Sharp decay estimates and asymptotic stability for incompressible MHD equations without viscosity or magnetic diffusion44
Characterization of symmetric polyconvexity in higher dimensions43
The rigidity of minimal Legendrian submanifolds in the Euclidean spheres via eigenvalues of fundamental matrices43
Sharp $$\textrm{L}^\infty $$ estimates for fully non-linear elliptic equations on compact complex manifolds35
Conformal tori with almost non-negative scalar curvature31
Trudinger–Moser and Hardy–Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field29
Comparison theorems on H-type sub-Riemannian manifolds28
Optimal Hölder convergence of a class of singular steady states to the Bahouri–Chemin patch27
Stable determination of an elastic medium scatterer by a single far-field measurement and beyond24
On the equilibrium shape of a crystal24
Size of the zero set of solutions of elliptic PDEs near the boundary of Lipschitz domains with small Lipschitz constant23
On a novel gradient flow structure for the aggregation equation22
Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations22
Nonlinear stability of sinusoidal Euler flows on a flat two-torus22
Serrin–type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component21
Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem21
Kähler Soliton Surfaces Are Generically Toric21
Multi-peak solutions for semilinear elliptic equations with nearly critical Sobolev exponents in lower dimensions21
Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature20
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