Existence and multiplicity of solutions for semilinear elliptic equations with Neumann boundary conditions

Existence and multiplicity of solutions for semilinear elliptic equations with Neumann boundary conditions

This article shows the existence of solutions by the least action principle, for semilinear elliptic equations with Neumann boundary conditions, under critical growth and local coercive conditions. In the subcritical growth and local coercive case, multiplicity results are established by using th...

Full description

Bibliographic Details
Main Authors: Qin Jiang, Sheng Ma
Format: Article
Language:English
Published: Texas State University 2015-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Elliptic equations
Neumann boundary conditions
critical point
least action principle
minimax methods
Online Access:http://ejde.math.txstate.edu/Volumes/2015/200/abstr.html
Description
Summary:This article shows the existence of solutions by the least action principle, for semilinear elliptic equations with Neumann boundary conditions, under critical growth and local coercive conditions. In the subcritical growth and local coercive case, multiplicity results are established by using the minimax methods together with a standard eigenspace decomposition.
ISSN:1072-6691

Similar Items