Variational and Topological Methods: Theory, Applications,
Numerical Simulations, and Open Problems.
Electron. J. Diff. Eqns., Conference 21 (2014), pp. 87100.
Some bifurcation results for quasilinear Dirichlet boundary value problems
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 pLaplacian.
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
HeriotWatt University, Edinburgh EH14 4AS, UK.
Faculty of Mathematics, University of Vienna
1090 Vienna, Austria
email: francois.genoud@univie.ac.at

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