Existence of Solutions for Asymptotically 'Linear' p-Laplacian Equations |
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| Authors: | Liu Shibo; Li Shujie |
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| Institution: | Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica Beijing 100080, P. R. Chinas; liusb{at}amss.ac.cn, lisj{at}math03.math.ac.cn |
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| Abstract: | Under very general conditions, a proof is given, via Morse theory,of the existence of solutions for asymptotically ‘linear’p-Laplacian equations, where the asymptotic limit may be greaterthan the second eigenvalue. The existence of nonzero solutionsis also considered. 2000 Mathematics Subject Classification35J65, 58E05. |
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