Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions |
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| Authors: | Liang Bai Guang Zhang |
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| Institution: | aSchool of Science, Qingdao Technological University, Fushun Road 11, Qingdao 266033, PR China;bSchool of Science, Tianjin University of Commerce, Beicheng, Tianjin 300134, PR China |
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| Abstract: | In this paper, existence of nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions is considered by using the monotone operator principle, Mountain pass lemma, Linking theorem and some results in Morse theory. The obtained results are also valid and new for the corresponding difference periodic boundary value problem. |
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| Keywords: | Discrete elliptic equation Periodic boundary condition Mountain pass lemma Linking theorem Morse theory |
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