VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS

Ramzi Alsaedi
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Ramzi Alsaedi: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia2College of Sciences, University of Jeddah, Jeddah, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-8

Abstract: In this paper, we study the question of the existence and nonexistence of solutions for some fractional equations with variable exponents. This paper generalizes some analog results in the classical fractional one. As we know, there are no previous results on the nonexistence of solutions for nonlinear equations with fractional p(â‹…,â‹…)-Laplacian.

Keywords: Fractional Sobolev Spaces; Variable Exponents; Existence; Nonexistence; Variational Methods (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402599

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