Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball

Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball

We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity $g(u)$ that grows subcritically for $u$ positive and supercritically for $u$ negative.

Bibliographic Details
Main Authors: Chee Meng Tan, John Kwon, Alfonso Castro
Format: Article
Language:English
Published: Texas State University 2007-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Sub-super critical
radial solutions
nonlinear elliptic equation
Pohozaev identity
Online Access:http://ejde.math.txstate.edu/Volumes/2007/111/abstr.html
Description
Summary:We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity $g(u)$ that grows subcritically for $u$ positive and supercritically for $u$ negative.
ISSN:1072-6691

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