Abstract
Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.
Citation
Zhitao Zhang. Shujie Li. Shibo Liu. Weijie Feng. "On an asymptotically linear elliptic Dirichlet problem." Abstr. Appl. Anal. 7 (10) 509 - 516, 26 September 2002. https://doi.org/10.1155/S1085337502207046
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