multiple solutions for a elliptic system in exterior domain
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ID: 251343
2008
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Abstract
In this paper, we study the existence of solutions for the nonlinear elliptic system $$displaylines{ -Delta u+u=|u|^{p-1}u+lambda v quad hbox{in } Omega, cr -Delta v+v=|v|^{p-1}v+lambda u quad hbox{in } Omega, cr u=v=0 quad hbox{on } partialOmega, }$$ where $Omega$ is a exterior domain in $mathbb{R}^N$, $Ngeq 3$. We show that the system possesses at least one nontrivial positive solution.
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yu2008electronicmultiple
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| Authors | ;Xiaohui Yu;Jianfu Yang;Huijuan Gu |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2008 |
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| Keywords | Keywords not found |
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