Nodal bound state of nonlinear problems involving the fractional Laplacian

Long Wei; Lv Longbo

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Nodal bound state of nonlinear problems involving the fractional Laplacian

机译：涉及分数拉普拉斯的非线性问题的节点束缚状态

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xml:id="mma4470-para-0001"> This paper is concerned with the following nonlinear fractional Schr?dinger equation ε 2 s ( ? Δ ) s u + V ( x ) u = | u | p ? 2 u

机译： XML：ID =“ MMA4470-PARA-0001“>本文涉及以下非线性分数SCHR？Dinger方程<展示XML：ID =”MMA4470-DISP-0001“类型=”数学“编号=”否“> ε 2 s （？ < Mat：Mi Mathvariant =“正常”>Δ ） S U + V <垫子：Mo弹力=“假”>（ x ） u = | u | p α？ 2 < / MAD：MROW> u

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《Mathematical Methods in the Applied Sciences》 |2017年第18期|共15页
作者
Long Wei; Lv Longbo;
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作者单位

College of Mathematics and Information ScienceJiangxi Normal UniversityNanchang 330022 Jiangxi P. R. China;

College of Mathematics and Information ScienceJiangxi Normal UniversityNanchang 330022 Jiangxi P. R. China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
fractional Laplacian; nonlinear Schr?dinger equation; reduction method;

机译：分数拉普拉斯;非线性schr？dinger方程;减少方法;

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1. Nodal bound state of nonlinear problems involving the fractional Laplacian [J] . Long Wei, Lv Longbo Mathematical Methods in the Applied Sciences . 2017,第18期

机译：涉及分数拉普拉斯的非线性问题的节点束缚状态
2. A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional p(.)-Laplacian [J] . Ho Ky, Kim Yun-Ho Nonlinear Analysis: An International Multidisciplinary Journal . 2019,第期

机译：用于分数P（。） - Laplacian的非线性椭圆问题的A-Priori界和多种解决方案 - Laplacian
3. Standing waves of nonlinear fractional p-Laplacian Schrodinger equation involving logarithmic nonlinearity [J] . Zhang Lihong, Hou Wenwen Applied mathematics letters . 2020,第期

机译：常设波的非线性分数P-LAPLACIAN Schrodinger方程涉及对数非线性的
4. Multiple Solutions for the Nonhomogeneous Schrödinger-Poisson Equations Involving the Fractional Laplacian [C] . Yanchun Tong, Decai Sun International Symposium on Distributed Computing and Applications for Business Engineering and Science . 2018

机译：分数阶拉普拉斯算子的非齐次薛定ding-泊松方程的多重解
5. Qualitative Properties for Solutions of Nonlinear Equations and Systems involving Higher Order and Fractional Order Laplacians [D] . Zhou, Ran 2015

机译：涉及高阶和分数阶拉普拉斯算子的非线性方程和系统解的定性性质
6. Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian [O] . Meng Qu, Liu Yang -1

机译：分数阶拉普拉斯算子的非线性薛定ding系统的解
7. Publisher’s Note: “Existence and multiplicity of solutions for the fractional p-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth” J. Math. Phys. 62, 051507 (2021) [O] . Eduardo de S. Böer, Olímpio H. Miyagaki 2021

机译：发行商注意事项：“具有指数临界和亚临界生长的非线性的分数P-LAPLACIAN Coquartmic方程的存在和多重性”J。数学。物理。 62,051507（2021）

Nodal bound state of nonlinear problems involving the fractional Laplacian

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