Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms |
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| Authors: | Su Jiabao |
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| Institution: | (1) Institute of Mathematics, Academia Sinica, 100080 Beijing, China;(2) Department of Mathematics, Capital Normal University, 100037 Beijing, China |
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| Abstract: | In this paper we study the existence of nontrivial solutions of a class of asymptotically linear elliptic resonant problems
at higher eigenvalues with the nonlinear term which may be unbounded by making use of the Morse theory for aC
2-function at both isolated critical point and infinity. |
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| Keywords: | 35J65 47H15 58E05 |
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