The aim of this paper is to investigate the existence and multiplicity of solutions for a binon-local problem. Precisely, we show that the above problem admits at least a non-trivial positive energy solution by using the mountain pass theorem. Furthermore, with the help of the fountain theorem, we obtain the existence of infinitely many positive energy solutions, assuming a symmetric condition for g. The main feature and difficulty of this paper is the presence of a double non-local term involving two variable parameters.

Zuo, J., An, T., Fiscella, A., Liu, C. (2022). Existence and Multiplicity of Solutions for a Bi-Non-Local Problem. MATHEMATICS, 10(12) [10.3390/math10121973].

Existence and Multiplicity of Solutions for a Bi-Non-Local Problem

Fiscella, Alessio;
2022

Abstract

The aim of this paper is to investigate the existence and multiplicity of solutions for a binon-local problem. Precisely, we show that the above problem admits at least a non-trivial positive energy solution by using the mountain pass theorem. Furthermore, with the help of the fountain theorem, we obtain the existence of infinitely many positive energy solutions, assuming a symmetric condition for g. The main feature and difficulty of this paper is the presence of a double non-local term involving two variable parameters.
Articolo in rivista - Articolo scientifico
Scientifica
Kirchhoff coefficient; p(·)-fractional Laplacian; variable exponent; variable-order;
English
Zuo, J., An, T., Fiscella, A., Liu, C. (2022). Existence and Multiplicity of Solutions for a Bi-Non-Local Problem. MATHEMATICS, 10(12) [10.3390/math10121973].
Zuo, J; An, T; Fiscella, A; Liu, C
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/382865
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