Is the Trudinger-Moser nonlinearity a true critical nonlinearity?

zbMath1306.35019arXiv1006.2724MaRDI QIDQ2257962

Kyril Tintarev

Publication date: 2 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2724

zbMATH Keywords

weak convergencehyperbolic spaceTrudinger-Moser inequalityconcentration compactnessPoincaré diskHardy inequalitiesPalais-Smale sequenceselliptic problems in critical dimension

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

This page was built for publication: Is the Trudinger-Moser nonlinearity a true critical nonlinearity?