Low- and high-energy solutions of nonlinear elliptic oscillatory problems |
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| Authors: | Giovanni Molica Bisci Vicenţiu Rădulescu Raffaella Servadei |
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| Institution: | 1. Dipartimento Patrimonio, Architettura e Urbanistica, University of Reggio Calabria, Feo di Vito, 89124 Reggio Calabria, Italy;2. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 014700 Bucharest, Romania;3. Department of Mathematics, University of Craiova, Street A.I. Cuza No. 13, 200585 Craiova, Romania;4. Dipartimento di Matematica e Informatica, Università della Calabria, Ponte Pietro Bucci 31 B, 87036 Arcavacata di Rende, Cosenza, Italy |
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| Abstract: | In this Note, we study the existence of low- or high-energy solutions for a class of elliptic problems containing a nonlinear term that oscillates either near the origin or at infinity. We point out the competition effect between the oscillatory nonlinearity, a polynomial growth term, and the values of a real parameter. The proofs combine related variational methods. |
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