Strauss and Lions type theorems for the fractional Sobolev spaces with\n variable exponent and applications to nonlocal Kirchhoff-Choquard problem

2020/05/01 by Sabri Bahrouni, Bahrouni, Sabri, Hichem Ounaies +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2005.00617

openalex publication_date 2020/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with Strauss and Lions-type theorems for fractional Sobolev\nspaces with variable exponent W^s,p(.),\p(.,.)(\Ω), when p and\n\p satisfies some conditions. As application, we study the existence\nof solutions for a class of Kirchhoff-Choquard problem in \ℝ^N.\n

Related

• General fractional Sobolev Space with variable exponent and applications\n to nonlocal problems
• Variable order nonlocal Choquard problem with variable exponents
• Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
• Anisotropic fractional Sobolev spaces with variable exponent and application to nonlocal problems
• Multiplicity and uniform estimate for a class of variable order\n fractional p(x)-Laplacian problems with concave-convex nonlinearities