Variable-order fractional Sobolev spaces and nonlinear elliptic equations with variable exponents

DOI10.1063/5.0004341zbMath1462.35433OpenAlexW3045253193MaRDI QIDQ5140945

Bin Ge, Yi. Cheng, Ravi P. Agarwal

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0004341

zbMATH Keywords

monotone operators theoryfractional \(p(\cdot)\)-Laplace operatorLeray-Schauder's fixed point

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (5)

A class of \(p_1 (x, \cdot)\) \& \(p_2 (x, \cdot)\)-fractional Kirchhoff-type problem with variable \(s(x, \cdot)\)-order and without the Ambrosetti-Rabinowitz condition in \(\mathbb{R}^N\) ⋮ Nonlocal fractional \(p(\cdot)\)-Kirchhoff systems with variable-order: two and three solutions ⋮ Embedding theorems for variable exponent fractional Sobolev spaces and an application ⋮ Local regularity for nonlocal equations with variable exponents ⋮ Local Hölder regularity for nonlocal equations with variable powers

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