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Axial symmetry of some steady state solutions to nonlinear Schrödinger equations

TitleAxial symmetry of some steady state solutions to nonlinear Schrödinger equations
Publication TypeJournal Article
Year of Publication2011
AuthorsGui, C, Malchiodi, A, Xu, H, Yang, P
JournalProc. Amer. Math. Soc. 139 (2011), 1023-1032
KeywordsNonlinear Schrödinger equation
Abstract

In this note, we show the axial symmetry of steady state solutions of nonlinear Schrodinger equations when the exponent of the nonlinearity is between the critical Sobolev exponent of n dimensional space and n - 1 dimensional space.

URLhttp://hdl.handle.net/1963/4100
DOI10.1090/S0002-9939-2010-10638-X

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