Three weak solutions for elliptic Dirichlet problems |
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| Authors: | Gabriele Bonanno |
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| Institution: | a Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 Messina, Italy
b Dipartimento P.A.U., Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari - Feo di Vito, 89100 Reggio Calabria, Italy |
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| Abstract: | An existence result of three non-zero solutions for non-autonomous elliptic Dirichlet problems, under suitable assumptions on the nonlinear term, is presented. The approach is based on a recent three critical points theorem for differentiable functionals. |
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| Keywords: | Critical points Variational methods Dirichlet problem Three solutions |
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