Existence and uniqueness of solutions for a semilinear elliptic system

Robert Dalmasso

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-17

Abstract:

We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particular case, the system reduces to the homogeneous Dirichlet problem for the biharmonic equation Δ 2 u = | u | p in a ball with p > 0 .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:731529

DOI: 10.1155/IJMMS.2005.1507

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