Abstract
Under simple conditions, we prove the existence of three solutions for a fourth–order asymptotically linear elliptic boundary value problem. For the resonance case at infinity, we do not need to assume any more conditions to ensure the boundedness of the (PS) sequence of the corresponding functional.
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Supported by the "973" Program of the Chinese National Science Foundation and the Foundation of Chinese Academy of Sciences
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Qian, A.X., Li, S.J. Multiple Solutions for a Fourth–order Asymptotically Linear Elliptic Problem. Acta Math Sinica 22, 1121–1126 (2006). https://doi.org/10.1007/s10114-005-0665-7
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DOI: https://doi.org/10.1007/s10114-005-0665-7