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Existence and uniqueness of solutions for a semilinear elliptic system

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  • Robert Dalmasso

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 .

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  • Robert Dalmasso, 2005. "Existence and uniqueness of solutions for a semilinear elliptic system," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:731529
    DOI: 10.1155/IJMMS.2005.1507
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    Cited by:

    1. Lie-jun Xie & Cai-lian Zhou & Song Xu, 2019. "Solving the Systems of Equations of Lane-Emden Type by Differential Transform Method Coupled with Adomian Polynomials," Mathematics, MDPI, vol. 7(4), pages 1-16, April.

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