Nonlinear boundary conditions for elliptic equations

This work is devoted to the study of the elliptic equation $Delta u = f(x,u)$ in a bounded domain $Omegasubset mathbb{R}^n$ with a nonlinear boundary condition. We obtain various existence results applying coincidence degree theory and the method of upper and lower solutions.

Bibliographic Details
Main Authors: Osvaldo Mendez, Maria Cristina Mariani, Pablo Amster
Format: Article
Language:English
Published: Texas State University 2005-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/144/abstr.html