An application of the Lyapunov-Schmidt method to semilinear elliptic problems
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-Schmid...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/129/abstr.html |