Nonlinear elliptic systems involving the fractional Laplacian in the unit ball and on a half space

Author:

Mou Chenchen

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis

Reference21 articles.

1. Positive solutions of nonlinear problems involving the square root of the Laplacian,;X. Cabre;\emph{Adv. Math.},2010

2. Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian,;L. Caffarelli;\emph{Invent. Math.},2008

3. An extension problem related to the fractional Laplacian,;L. Caffarelli;\emph{Comm. Partial Differential Equations},2007

4. Semilinear equations involving the fractional Laplacian on domains, preprint,;W. Chen;\arXiv{1309.7499}.

5. Liouville theorems involving the fractional Laplacian on a half space,;W. Chen;\emph{Adv. Math.},2015

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1. Positivity of nonnegative solutions to a system of fractional Laplacian problems in a ball;Proceedings of the American Mathematical Society, Series B;2024-09-12

2. Qualitative properties of solutions for system involving the fractional Laplacian;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-02-26

3. Liouville theorem for Hénon-Hardy systems in the unit ball;Revista Matemática Complutense;2022-10-09

4. Positive least energy solutions for k-coupled critical systems involving fractional Laplacian;Discrete & Continuous Dynamical Systems - S;2021

5. On critical fractional systems with Hardy–Littlewood–Sobolev nonlinearities;Rocky Mountain Journal of Mathematics;2020-10-01

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