Multiple solutions for semilinear elliptic boundary value problems with double resonance |
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| Authors: | Zhanping Liang Jiabao Su |
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| Affiliation: | School of Mathematical Sciences and Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100048, People's Republic of China |
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| Abstract: | In this paper we study the multiplicity of nontrivial solutions of semilinear elliptic boundary value problems which may be double resonance near infinity between two consecutive eigenvalues of −Δ with zero Dirichlet boundary data. The methods we use here are Morse theory, minimax methods and bifurcation theory. |
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| Keywords: | Semilinear elliptic equation Double resonance Morse theory Minimax methods Bifurcation method |
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