Strauss and Lions Type Theorems for the Fractional Sobolev Spaces with Variable Exponent and Applications to Nonlocal Kirchhoff–Choquard Problem

• Autores: Sabri Bahrouni, Hichem Ounaies
• Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021
• Idioma: inglés
• DOI: 10.1007/s00009-020-01661-w
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  • This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent Ws,p(.),p~(.,.)(Ω), when p and p~ satisfy some conditions. As application, we study the existence of solutions for a class of Kirchhoff–Choquard problem in RN.