Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups |
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Authors: | Shiwang Ma |
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Institution: | School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China |
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Abstract: | In this paper, we consider a class of resonant cooperative elliptic systems. Based on some new results concerning the computations of the critical groups and the Morse theory, we establish some new results about the existence and multiplicity of solutions under new classes of conditions. It turns out that our main results sharply improve some known results in the literature. |
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Keywords: | 35J20 35J55 35J65 |
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