This paper is devoted to the study of the following Schrödinger-Kirchhoff-Hardy equation in (equation presented) is the fractional p-Laplacian, with s ∈ (0, 1) and p > 1, dimension n > ps, M models a Kirchhoff coefficient, V is a positive potential, f is a continuous nonlinearity and µ is a real parameter. The main feature of the paper is the combination of a Kirchhoff coefficient and a Hardy term with a suitable function f which does not necessarily satisfy the Ambrosetti-Rabinowitz condition. Under different assumptions for f and restrictions for µ, we provide existence and multiplicity results by variational methods.

Fiscella, A. (2020). Schrödinger-Kirchhoff-Hardy p-fractional equations without the Ambrosetti-Rabinowitz condition. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 13(7), 1993-2007 [10.3934/dcdss.2020154].

Schrödinger-Kirchhoff-Hardy p-fractional equations without the Ambrosetti-Rabinowitz condition

Fiscella A
2020

Abstract

This paper is devoted to the study of the following Schrödinger-Kirchhoff-Hardy equation in (equation presented) is the fractional p-Laplacian, with s ∈ (0, 1) and p > 1, dimension n > ps, M models a Kirchhoff coefficient, V is a positive potential, f is a continuous nonlinearity and µ is a real parameter. The main feature of the paper is the combination of a Kirchhoff coefficient and a Hardy term with a suitable function f which does not necessarily satisfy the Ambrosetti-Rabinowitz condition. Under different assumptions for f and restrictions for µ, we provide existence and multiplicity results by variational methods.
Articolo in rivista - Articolo scientifico
Schrödinger-Kirchhoff equations, existence of entire solutions, fractional p-Laplacian operator, Hardy coefficients, variational methods
English
1993
2007
15
Bronze Open Access
Fiscella, A. (2020). Schrödinger-Kirchhoff-Hardy p-fractional equations without the Ambrosetti-Rabinowitz condition. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 13(7), 1993-2007 [10.3934/dcdss.2020154].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338093
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