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Bifurcation problems for a class of degenerate quasilinear elliptic equations
Authors:Yun-xiang Li  Yu Ye  Fang-li Xia
Institution:1. Department of Mathematics, Hunan City University, Yiyang, 413049, China
3. Department of Mathematics, Central South University, Changsha, 410075, China
2. Department of Mathematics, Changsha University of Science and Technology, Changsha, 410076, China
Abstract:In this paper we consider the bifurcation problem
$ - divA\left( {x,\nabla u} \right) = \lambda a\left( x \right)\left| u \right|^{p - 2} u + f\left( {x,u,\lambda } \right) $ - divA\left( {x,\nabla u} \right) = \lambda a\left( x \right)\left| u \right|^{p - 2} u + f\left( {x,u,\lambda } \right)
Keywords:Quasilinear elliptic equation  bifurcation  principal eigenvalue
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