A global bifurcation result for quasilinear elliptic equations in Orlicz-Sobolev spaces
Keywords
Global bifurcation, variational inequality, Orlicz-Sobolev space, Leray-Schauder degreeAbstract
The paper is concerned with a global bifurcation result for the equation $$ -\text{div} (A(|\nabla u|) \nabla u) = g(x,u,\lambda) $$ in a general domain $\Omega$ with non necessarily radial solutions. Using a variational inequality formulation together with calculations of the Leray-Schauder degrees for mappings in Orlicz-Sobolev spaces, we show a global behavior (the Rabinowitz alternative) of the bifurcating branches.Downloads
Published
2000-06-01
How to Cite
1.
LE, Vy Khoi. A global bifurcation result for quasilinear elliptic equations in Orlicz-Sobolev spaces. Topological Methods in Nonlinear Analysis. Online. 1 June 2000. Vol. 15, no. 2, pp. 301 - 327. [Accessed 10 November 2024].
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