Asymptotically linear fourth-order elliptic problems whose nonlinearity crosses several eigenvalues
In this article we prove the existence of multiple solutions for the fourth-order elliptic problem $$displaylines{ Delta^2u+cDelta u = g(x,u) quadhbox{in } Omegacr u =Delta u= 0 quadhbox{on } partial Omega, }$$ where $Omega subset mathbb{R}^N$ is a bounded domain, $g:Omegaimesmathbb{R}o mathb...
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| Format: | Article |
| Language: | English |
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Texas State University
2011-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/145/abstr.html |