Calculus of Variations and Partial Differential Equations

Papers
(The H4-Index of Calculus of Variations and Partial Differential Equations is 19. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery81
The well-posedness of incompressible rotational jet flows with gravity38
On the equilibrium shape of a crystal37
Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions36
On the optimality and decay of p-Hardy weights on graphs36
Sharp decay estimates and asymptotic stability for incompressible MHD equations without viscosity or magnetic diffusion35
Characterization of symmetric polyconvexity in higher dimensions32
Conformal tori with almost non-negative scalar curvature30
The rigidity of minimal Legendrian submanifolds in the Euclidean spheres via eigenvalues of fundamental matrices28
Upper bounds for the Steklov eigenvalues on trees27
An extension of a theorem of Bers and Finn on the removability of isolated singularities to the Euler–Lagrange equations related to general linear growth problems25
On a multi-objective control problem for the Korteweg–de Vries equation24
Principal spectral curves for Lane–Emden fully nonlinear type systems and applications23
Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem23
Regularity theory for non-autonomous problems with a priori assumptions22
Dichotomous concentrating solutions for a Schrödinger–Newton equation22
Serrin–type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component21
Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in $$\mathbb R^2$$20
Size of the zero set of solutions of elliptic PDEs near the boundary of Lipschitz domains with small Lipschitz constant20
Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations19
Sharp quantitative stability of Poincaré-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows19
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