Multiple solutions for semilinear elliptic equations with nonlinear boundary conditions

We consider the elliptic problem with nonlinear boundary conditions: $$displaylines{ -Delta u +bu=f(x,u)quadhbox{in }Omega,cr -partial_{u}u=|u|^{q-1}u-g(u)quadhbox{on }partialOmega, }$$ where $Omega$ is a bounded domain in $mathbb{R}^n$. Proving the existence of solutions of this problem relie...

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Bibliographic Details
Main Authors: Junichi Harada, Mitsuharu Otani
Format: Article
Language:English
Published: Texas State University 2012-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/33/abstr.html