On sequences of solutions for discrete anisotropic equations |
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| Authors: | Giovanni Molica Bisci,Du&scaron an Repov&scaron |
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| Affiliation: | 1. Dipartimento P.A.U., Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari - Feo di Vito, 89100 Reggio Calabria, Italy;2. Faculty of Education, and Faculty of Mathematics and Physics, University of Ljubljana, POB 2964, Ljubljana, Slovenia 1001, Slovenia |
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| Abstract: | Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concrete interval of positive parameters, for which the treated problem admits infinitely many solutions, is determined without symmetry assumptions on the nonlinear data. Our goal was achieved by requiring an appropriate behavior of the nonlinear terms at zero, without any additional conditions. |
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| Keywords: | primary, 47A75 secondary, 35B38, 35P30, 34L05, 34L30 |
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