Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems
We consider resonance problems at an arbitrary eigenvalue of the Laplacien. We prove the existence of nontrivial solutions for some semilinear elliptic Dirichlet boundary values problems. We also obtain two nontrivial solutions by using Morse theory.
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Format: | Article |
Language: | English |
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Texas State University
2002-12-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/conf-proc/09/e1/abstr.html |