Variable-order fractional Sobolev spaces and nonlinear elliptic equations with variable exponents-Reference-Cited by-同舟云学术

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

Published:2020-07-01 Issue:7 Volume:61 Page:071507
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Cheng Yi¹^ORCID,Ge Bin²^ORCID,Agarwal Ravi P.³

Affiliation:

1. Department of Mathematics, Bohai University, Jinzhou 121013, People’s Republic of China

2. School of Mathematical Sciences, Harbin Engineering University, Harbin 150001, People’s Republic of China

3. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, Texas 78363, USA

Funder

Department of Education of Liaoning Province

Heilongjiang Provincial Postdoctoral Science Foundation

Department of Science and Technology of Liaoning Province

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/5.0004341

Reference24 articles.

1. Stability of variational eigenvalues for the fractional $p-$Laplacian

2. An Extension Problem Related to the Fractional Laplacian

3. Local behavior of fractional p-minimizers

4. Existence results for fractional p-Laplacian problems via Morse theory

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Local regularity for nonlocal equations with variable exponents;Mathematische Nachrichten;2023-07-06

2. Variable s(·)$$ s\left(\cdotp \right) $$‐order Kirchhoff‐type problem with a p(·)$$ p\left(\cdotp \right) $$‐fractional Laplace operator;Mathematical Methods in the Applied Sciences;2023-06-26

3. Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional r(·)-Laplacian in RN;Fractal and Fractional;2023-02-21

4. On a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in the whole space;Discrete and Continuous Dynamical Systems - S;2023

5. Local Hölder regularity for nonlocal equations with variable powers;Calculus of Variations and Partial Differential Equations;2022-11-09

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