Abstract
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.
Citation
Vy Khoi Le. "A global bifurcation result for quasilinear elliptic equations in Orlicz-Sobolev spaces." Topol. Methods Nonlinear Anal. 15 (2) 301 - 327, 2000.
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