Department of Mathematics and
the Maxwell Institute for Mathematical Sciences
Heriot-Watt University, Edinburgh EH14 4AS, UK.
Faculty of Mathematics, University of Vienna
1090 Vienna, Austria
email: francois.genoud@univie.ac.at
Francois Genoud
Abstract:
This article reviews some bifurcation results for quasilinear
problems in bounded domains of R^N, with Dirichlet boundary conditions.
Some of these are natural extensions of classical theorems in
"semilinear bifurcation theory" from the 1970's, based on topological arguments.
In the rad ial setting, a recent contribution of the present author is
also presented, which yields smooth solution curves, bifurcating from the
first eigenvalue of the p-Laplacian.
Published February 10, 2014.
Math Subject Classifications: 35J66, 35J92, 35B32.
Key Words: Bifurcation; boundary value problems; quasilinear equations.
Show me the PDF(314 K), TEX and other files for this article.
|
François Genoud Department of Mathematics and the Maxwell Institute for Mathematical Sciences Heriot-Watt University, Edinburgh EH14 4AS, UK. Faculty of Mathematics, University of Vienna 1090 Vienna, Austria email: francois.genoud@univie.ac.at |
|---|
Return to the table of contents
for this conference.
Return to the EJDE web page