Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling-Reference-Cited by-同舟云学术

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Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling

Published:2019-08 Issue:8 Volume:60 Page:081511
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Che Guofeng¹,Chen Haibo²,Wu Tsung-fang³^ORCID

Affiliation:

1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006 Guangdong, People’s Republic of China

2. School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, People’s Republic of China

3. Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, Taiwan

Funder

Ministry of Science and Technology, Taiwan

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5087755

Reference50 articles.

1. Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x)u^p+f(x)$ in ${\mathbb R}^N$

2. Critical points and nonlinear variational problems

3. Nonlinear scalar field equations, I existence of a ground state

4. Wave collapse in physics: principles and applications to light and plasma waves

5. A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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1. Multiple positive solutions to the fractional Kirchhoff-type problems involving sign-changing weight functions;AIMS Mathematics;2024

2. Properties of the minimizers for a constrained minimization problem arising in fractional NLS system;Journal of Fixed Point Theory and Applications;2023-06-19

3. Existence and concentration of positive solutions to a fractional system with saturable term;Stochastics and Dynamics;2022-06-20

4. Existence and Concentration of Solutions for the Sublinear Fractional Schrödinger–Poisson System;Bulletin of the Malaysian Mathematical Sciences Society;2022-05-17

5. Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities;Advances in Nonlinear Analysis;2021-11-11

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