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.
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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 |
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