Compactness properties of critical nonlinearities and nonlinear Schrödinger equations

DOI10.1017/S0013091512000363zbMath1280.35134OpenAlexW1995493216MaRDI QIDQ4923446

Kyril Tintarev, David Goldstein Costa, João Marcos Bezerra do Ó

Publication date: 24 May 2013

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091512000363

zbMATH Keywords

Schrödinger equationTrudinger-Moser inequalityHardy inequalitycritical nonlinearitysingular potentials

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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