On nonexistence of extremals for the Trudinger-Moser functionals involving \(L^p\) norms

DOI10.3934/cpaa.2020191zbMath1461.35008OpenAlexW3037258796MaRDI QIDQ2658630

Yamin Wang

Publication date: 23 March 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020191

zbMATH Keywords

energy estimateTrudinger-Moser inequalityextremal function

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence theories for optimal control problems involving partial differential equations (49J20) Blow-up in context of PDEs (35B44) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Nonexistence of extremals for a Trudinger-Moser inequality on a Riemann surface with boundary ⋮ The nonexistence of extremals for the Hardy-Trudinger-Moser inequality in the hyperbolic space

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