On a nonlinear elliptic eigenvalue problem |
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Authors: | Shaowei Chen |
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Affiliation: | Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, PR China |
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Abstract: | Let N(λ) be the number of the solutions of the equation: , where Ω is a bounded domain in with smooth boundary. Under suitable conditions on f, we proved that N(λ)→+∞ as λ→+∞. |
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Keywords: | Nonlinear eigenvalue problem Perturbation from symmetry Minimax theorem |
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