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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Jiabao, S. Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms. Acta Mathematica Sinica 14, 411–418 (1998). https://doi.org/10.1007/BF02580445
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DOI: https://doi.org/10.1007/BF02580445