Existence results for singular anisotropic elliptic boundary-value problems

We establish the existence of a positive solution for anisotropic singular quasilinear elliptic boundary-value problems. As an example of the problems studied we have $$ u^au_{xx}+u^bu_{yy}+lambda(u+1)^{a+r}=0 $$ with zero Dirichlet boundary condition, on bounded convex domain in ${mathbb R}^2$. Her...

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Bibliographic Details
Main Author: Eun Heui Kim
Format: Article
Language:English
Published: Texas State University 2000-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/17/abstr.html