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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, UniversitÓ di Reggio Calabria, Via dei Bianchi, 89127 Reggio Calabria, Italy

Giovanni Molica Bisci
Dipartimento P.A.U., UniversitÓ di Reggio Calabria, Salita Melissari - Feo di Vito, 89124 Reggio Calabria, Italy

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

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