Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space

Abstract

Abstract In this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents. Our approach is mainly based on the sub-supersolution method and the mountain pass theorem.

Keywords

• p(x)-Laplacian
• Sub-supersolutions
• Variable exponents
• Existence
• Mountain pass theory
• Musielak-Orlicz Sobolev