Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

zbMath1477.46042arXiv1908.06179MaRDI QIDQ4991788

Hoai-Minh Nguyen, Arka Mallick

Publication date: 3 June 2021

Full work available at URL: https://arxiv.org/abs/1908.06179

zbMATH Keywords

Sobolev's inequalityPoincaré's inequalityMoser-Trudinger's inequality

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Inequalities involving derivatives and differential and integral operators (26D10)

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