## Topological Methods in Nonlinear Analysis

### A global bifurcation result for quasilinear elliptic equations in Orlicz-Sobolev spaces

Vy Khoi Le

#### 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.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 15, Number 2 (2000), 301-327.

Dates
First available in Project Euclid: 22 August 2016

https://projecteuclid.org/euclid.tmna/1471873944

Mathematical Reviews number (MathSciNet)
MR1784144

Zentralblatt MATH identifier
0971.35029

#### Citation

Le, Vy Khoi. A global bifurcation result for quasilinear elliptic equations in Orlicz-Sobolev spaces. Topol. Methods Nonlinear Anal. 15 (2000), no. 2, 301--327. https://projecteuclid.org/euclid.tmna/1471873944

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