Infinitely many solutions for a class of fractional Robin problems with variable exponents

Ramzi Alsaedi; Ramzi Alsaedi

doi:10.3934/math.2021539

AIMS Mathematics

2021, Volume 6, Issue 9: 9277-9289. doi: 10.3934/math.2021539

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Infinitely many solutions for a class of fractional Robin problems with variable exponents

Ramzi Alsaedi ^,

Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received: 08 April 2021 Accepted: 02 June 2021 Published: 22 June 2021
MSC : 35D30, 35J20, 35J60, 35P15, 35P30, 35R11, 46E35

In this paper, we are concerned with a class of fractional Robin problems with variable exponents. Their main feature is that the associated Euler equation is driven by the fractional $ p(\cdot)- $Laplacian operator with variable coefficient while the boundary condition is of Robin type. This paper is a continuation of the recent work established by A. Bahrouni, V. Radulescu and P. Winkert ^[5].
- fracional Sobolev spaces,
- variable exponents,
- Robin,
- variational methods
Citation: Ramzi Alsaedi. Infinitely many solutions for a class of fractional Robin problems with variable exponents[J]. AIMS Mathematics, 2021, 6(9): 9277-9289. doi: 10.3934/math.2021539

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Abstract

In this paper, we are concerned with a class of fractional Robin problems with variable exponents. Their main feature is that the associated Euler equation is driven by the fractional $ p(\cdot)- $Laplacian operator with variable coefficient while the boundary condition is of Robin type. This paper is a continuation of the recent work established by A. Bahrouni, V. Radulescu and P. Winkert ^[5].

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