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Concentration of homoclinic solutions for some fourth-order equations with sublinear indefinite nonlinearities
Institution:1. School of Science, Shandong University of Technology, Zibo, 255049 Shandong, PR China;2. Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan;3. School of Science, Linyi University, Linyi, 276005 Shandong, PR China
Abstract:In this paper, we mainly explore the phenomenon of concentration of homoclinic solutions for a class of nonperiodic fourth-order equations with sublinear indefinite nonlinearities. The proof is based on variational methods.
Keywords:Fourth-order differential equations  Homoclinic solutions  Variational methods  Concentration
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