OOIR: Observatory of International Research

Papers

(The H4-Index of Calculus of Variations and Partial Differential Equations is 18. 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 2021-03-01 to 2025-03-01.)

Article	Citations
$$W^{\sigma ,p}$$ A priori estimates for fully nonlinear integro-differential equations	70
A new transportation distance with bulk/interface interactions and flux penalization	58
$$L^p$$-Hardy identities and inequalities with respect to the distance and mean distance to the boundary	34
Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery	33
Global large solutions to a multi-dimensional compressible magnetohydrodynamic flows with a nonlinear initial constraint	31
Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations	31
Existence of an optimal shape for the first eigenvalue of polyharmonic operators	30
Existence and asymptotic behaviors of solutions to Chern-Simons systems and equations on finite graphs	30
Convergence rates for linear elasticity systems on perforated domains	25
Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations	24
Gradient estimates for divergence form parabolic systems from composite materials	24
Phase separation on varying surfaces and convergence of diffuse interface approximations	22
Local uniqueness of ground states for the generalized Choquard equation	20
On the equilibrium shape of a crystal	20
On a novel gradient flow structure for the aggregation equation	19
Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility	19
Monge–Ampère operators and valuations	18
Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning	18
Regularity for quasi-minima of the Alt–Caffarelli functional	18
A unified approach to self-improving property via K-functionals	18
On the optimality and decay of p-Hardy weights on graphs	18
On the weak Harnack estimate for nonlocal equations	18
On a theorem by Schlenk	18