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Minimax Theory and its Applications 02 (2017), No. 1, 041--050 Copyright Heldermann Verlag 2017 Some Applications of a Local Minimum Result Massimiliano Ferrara Dip. di Giurisprudenza ed Economia, Università di Reggio Calabria, Via dei Bianchi, 89127 Reggio Calabria, Italy massimiliano.ferrara@unirc.it Giovanni Molica Bisci Dipartimento P.A.U., Università di Reggio Calabria, Salita Melissari - Feo di Vito, 89124 Reggio Calabria, Italy gmolica@unirc.it This article concerns with a class of elliptic equations depending of one real parameter. Our approach is based on variational methods. More precisely, we establish the existence of at least two weak solutions for the treated problems under the celebrated Ambrosetti-Rabinowitz condition. Keywords: Fractional equations, subelliptic problems, multiple solutions, critical points results. MSC: 35J62, 35J65, 35J20; 35J15, 47J30, 22E25 [ Fulltext-pdf (128 KB)] for subscribers only. |