Trudinger-Moser inequality on the whole plane with the exact growth condition

DOI10.4171/JEMS/519zbMath1317.35032arXiv1110.1712MaRDI QIDQ2344498

Kenji Nakanishi, Slim Ibrahim, Nader Masmoudi

Publication date: 15 May 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1712

zbMATH Keywords

nonlinear Schrödinger equationground stateSobolev critical exponentTrudinger-Moser inequalityconcentration compactness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)

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