Normalized ground states for the NLS equation with combined nonlinearities: The Sobolev critical case

Soave Nicola

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Normalized ground states for the NLS equation with combined nonlinearities: The Sobolev critical case

机译：具有组合非线性的NLS方程的标准化地面状态：SoboLev批判性案例

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摘要

We study existence and properties of ground states for the nonlinear Schrodinger equation with combined power nonlinearities

机译：研究了具有复合幂次非线性的非线性薛定谔方程基态的存在性和性质

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来源
《Journal of Functional Analysis》 |2020年第6期|共43页
作者
Soave Nicola;
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作者单位

Politecn Milan Dipartimento Matemat Via Edoardo Bonardi 9 I-20133 Milan Italy;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Critical nonlinear Schrodinger equation; Normalized ground states; Pohozaev manifold; Combined nonlinearities;

机译：临界非线性薛定林方程;规范化的地面态;Pohozaev歧管;合并非线性;

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1. EXISTENCE TO FRACTIONAL CRITICAL EQUATION WITH HARDY-LITTLEWOOD-SOBOLEV NONLINEARITIES [J] . Nemat NYAMORADI, Abdolrahman RAZANI 数学物理学报（英文版） . 2021,第004期
2. INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT [J] . 陈文雄数学物理学报：B辑英文版 . 1991,第002期
3. ON THE RADIAL GROUND STATE OF P-LAPLACIAN EQUATION INVOLVING SUPER-CRITICAL OR CRITICAL EXPONENTS [J] . Xuan Benjin, Chen Zuchi 偏微分方程：英文版 . 2000,第003期
4. Multiplicity of Solutions for Nonlinear Biharmonic Equation Involving Critical Parameter and Critical Exponent [J] . WANG You-jun, SHEN Yao-tian 数学季刊：英文版 . 2011,第003期
5. Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter [J] . Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi Proceedings, Section A. Mathematics . 2020,第Pta5期

机译：具有SoboLev临界指数和大频率参数的组合功率型非线性标量标量程方程的线性不稳定性和地面状态
6. Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies [J] . Akahori Takafumi, Ibrahim Slim, Ikoma Norihisa, Calculus of variations and partial differential equations . 2019,第4期

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7. GROUND STATES OF NONLINEAR FRACTIONAL CHOQUARD EQUATIONS WITH HARDY-LITTLEWOOD-SOBOLEV CRITICAL GROWTH [J] . Communications on pure and applied analysis . 2020,第1期

机译：具有Hardy-Littlewood-SoboLev关键增长的非线性分数Choquard方程的地面状态
8. Scattering for systems of N weakly coupled NLS equations on R~d × M~k in non-isotropic Sobolev fractional spaces [C] . Mirko Tarulli, George Venkov International Conference on Applications of Mathematics in Engineering and Economics . 2018

机译：非各向同性SoboLev分数空间中R〜D×M〜k弱耦合NLS方程的系统散射
9. The analytical derivation and applications of the NLS equation for nonlinear optical propagation in dielectric optical fiber devices. [D] . El-Reedy, Jamil Omar-Hatem. 2002

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10. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
11. Normalized ground states for the NLS equation with combined nonlinearities: The Sobolev critical case [O] . Nicola Soave 2020

机译：具有组合非线性的NLS方程的标准化地面状态：SoboLev批判性案例
12. Bifurcation and Multiplicity Results for Nonlinear Elliptic Problems Involving Critical Sobolev Exponents [R] . Cerami, G., Fortunato, D., Struwe, M. 1984

机译：含临界sobolev指数的非线性椭圆问题的分歧和多重性结果

Normalized ground states for the NLS equation with combined nonlinearities: The Sobolev critical case

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