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 condit...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.展开更多
基金the"973"Program of the Chinese National Science Foundationthe Foundation of Chinese Academy of Sciences
文摘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.
基金Supported by Natural Science Foundation of China(10571174)Grant from Jiangsu Education Committee of China(08KJB110009)the Foundation of Yunnan Education Committee of China(08Y0144)