an application of the lyapunov-schmidt method to semilinear elliptic problems
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ID: 141901
2005
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Abstract
In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system $$displaylines{ -Delta u=lambda u+delta v+f(u,v), cr -Delta v=heta u+ gamma v+g(u,v), }$$ on a bounded domain of $mathbb{R}^n$, with zero Dirichlet boundary conditions. We use the Lyapunov-Schmidt method and the fixed-point principle.
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ngo2005electronican
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| Authors | ;Quoc Anh Ngo |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2005 |
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