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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems.
by
Carlos Aranda
Formosa National University, Argentine
Coauthors: Jesus Hernandez (Universidad Autonoma de Madrid, Spain).

In this talk, we consider the singular nonlinear elliptic problem
-Du
=
u-a+h(∇u)+f(u)
in W
u
>
0
in W
u
=
0
on ∂W,
where 0 < a < ∞ and W is a bounded domain in RN. Under suitable assumptions on h, f and W, we obtain infinite multiplicity results. Moreover, we state infinite multiplicity results for related boundary blow up supercritical problems and for supercritical elliptic problems with Dirichlet boundary condition.

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Date received: February 28, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-47.