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 2021-04-01 to 2025-04-01.)
ArticleCitations
$$W^{\sigma ,p}$$ A priori estimates for fully nonlinear integro-differential equations77
A new transportation distance with bulk/interface interactions and flux penalization58
Discrete infinity Laplace equations on graphs and tug-of-war games36
Uniqueness of conformal-harmonic maps on locally conformally flat 4-manifolds36
Globally stable blowup profile for supercritical wave maps in all dimensions36
A Liouville type result for fractional GJMS equations on higher dimensional spheres35
Dirichlet problem for degenerate Hessian quotient type curvature equations32
Gradient estimates for parabolic nonlinear nonlocal equations32
Existence and orbital stability/instability of standing waves with prescribed mass for the $$L^{2}$$-supercritical NLS in bounded domains and exterior domains30
Dynamics of nearly parallel vortex filaments for the Gross–Pitaevskii equation28
Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in $$\mathbb R^2$$26
Torus-like solutions for the Landau-de Gennes model. Part III: torus vs split minimizers23
Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery22
Existence of an optimal shape for the first eigenvalue of polyharmonic operators22
Existence and asymptotic behaviors of solutions to Chern-Simons systems and equations on finite graphs22
On the existence of closed $$C^{1,1}$$ curves of constant curvature21
Global large solutions to a multi-dimensional compressible magnetohydrodynamic flows with a nonlinear initial constraint21
Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations21
Regularity of gradient vector fields giving rise to finite Caccioppoli partitions20
Gauss curvature flow with an obstacle19
A theory of spectral partitions of metric graphs19
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