Nonradial normalized solutions for nonlinear scalar field equations

We study the following nonlinear scalar field equation Here , m  >  0 is a given constant and arises as a Lagrange multiplier. In a mass subcritical case but under general assumptions on the nonlinearity f , we show the existence of one nonradial solution for any , and obtain multiple (sometimes...

Full description

Saved in:
Bibliographic Details
Published inNonlinearity Vol. 32; no. 12; pp. 4942 - 4966
Main Authors Jeanjean, Louis, Lu, Sheng-Sen
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2019
Subjects
Analysis of PDEs
Mathematics
nonlinear scalar field equations
nonradial solutions
sign-changing solutions
subcritical case
Online AccessGet full text

Cover

More Information
Summary:We study the following nonlinear scalar field equation Here , m  >  0 is a given constant and arises as a Lagrange multiplier. In a mass subcritical case but under general assumptions on the nonlinearity f , we show the existence of one nonradial solution for any , and obtain multiple (sometimes infinitely many) nonradial solutions when N  =  4 or . In particular, all these solutions are sign-changing.
Bibliography:NON-103320.R1
London Mathematical Society
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ab435e