A sharp constant in a Sobolev-Nirenberg inequality and its application to the Schrödinger equation

DOI10.1070/IM2009V073N03ABEH002456zbMath1167.35044MaRDI QIDQ5322953

Sh M. Nasibov

Publication date: 23 July 2009

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

blow-upsharp constantnon-linear Schrödinger equationglobal solubilityNirenberg-Sobolev inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10)

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