Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems

In this article, we consider the singular nonlinear elliptic problem $$displaylines{ -Delta u = g(u)+h( abla u)+f(u) quadhbox{in }Omega, cr u = 0 quadhbox{on }partialOmega. }$$ Under suitable assumptions on $g, h, f, Omega$ that allow a singularity of g at the origin, we obtain infinite multipl...

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Bibliographic Details
Main Author: Carlos C. Aranda
Format: Article
Language:English
Published: Texas State University 2009-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/124/abstr.html