Ground State of N Coupled Nonlinear Schrodinger Equations in $${\mathbb{R}}^n, n \leq 3$$

Tai‐Chia Lin, Juncheng Wei

Type: Article

Publication Date: 2007-11-06

Citations: 314

DOI: https://doi.org/10.1007/s00220-007-0365-5

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View - PDF

Similar Works

Action	Title	Year	Authors
+	Ground State of N Coupled Nonlinear Schr�dinger Equations in Rn,n?3	2005	Tai‐Chia Lin Juncheng Wei
+	Ground States for a Class of Generalized Quasilinear Schrödinger Equations in $${\mathbb {R}}^N$$ R N	2017	Jianhua Chen Xianhua Tang Bitao Cheng
+ PDF Chat	Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction	2021	Kazuhiro Kurata Yuki Osada
+	Ground States for a nonlinear Schrödinger system with sublinear coupling terms	2015	Filipe Oliveira Hugo Tavares
+ PDF Chat	On coupled systems of Schrödinger equations	2011	Z. Chen Wenming Zou
+	Ground States for a nonlinear Schr\"odinger system with sublinear coupling terms	2015	Filipe Oliveira Hugo Tavares
+	Semiclassical states for coupled nonlinear Schrödinger equations with a critical frequency	2022	Taiyong Chen Yahui Jiang Marco Squassina Jianjun Zhang
+ PDF Chat	A complete classification of ground-states for a coupled nonlinear Schrödinger system	2016	Chuangye Liu Zhi-Qiang Wang
+	Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The $L^2$-Critical Case	2023	Bin Chen Yujin Guo Shu Zhang
+ PDF Chat	Bound and ground states of coupled nonlinear Schrödinger equations	2006	Antonio Ambrosetti Eduardo Colorado
+ PDF Chat	Ground States and Bound States of a Nonlinear Schrödinger System	2010	Zhaoli Liu Zhi-Qiang Wang
+ PDF Chat	Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency	2023	Taiyong Chen Yahui Jiang Marco Squassina Jianjun Zhang
+	Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in $\mathbb{R}^N$	2016	Kanishka Perera Cyril Tintarev Jun Wang Zhitao Zhang
+ PDF Chat	Erratum: “N coupled nonlinear Schrödinger equations: Special set and applications to N=3” [J. Math. Phys. <b>43</b>, 6325 (2002)]	2003	F. T. Hioe
+ PDF Chat	Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in $\mathbb{R}^N$	2018	Kanishka Perera Cyril Tintarev Jun Wang Zhitao Zhang
+	Ground states for a coupled nonlinear Schrödinger system	2015	Filipe Oliveira
+	Existence and Concentration of Ground States of Coupled Nonlinear SchrSdinger Equations with Bounded Potentials	2008	Gongming Wei
+	Existence and concentration of ground states of coupled nonlinear Schrödinger equations with bounded potentials	2008	Gongming Wei
+ PDF Chat	Normalized grounded states for a coupled nonlinear schr\"{o}dinger system on $\mathbb{R}^3$	2024	Chengcheng Wu
+ PDF Chat	Ground States for a Nonlinear Schrödinger System with Sublinear Coupling Terms	2016	Filipe Oliveira Hugo Tavares

Works That Cite This (299)

Action	Title	Year	Authors
+	Ground states of nonlinear Schrödinger systems with mixed couplings	2020	Juncheng Wei Yuanze Wu
+ PDF Chat	Minimal energy solutions for cooperative nonlinear Schrödinger systems	2014	Rainer Mandel
+	Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2014	Yuxia Guo Bo Li Juncheng Wei
+	Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems	2016	Jaeyoung Byeon Yohei Sato Zhi-Qiang Wang
+	On coupled nonlinear Schrödinger systems with mixed couplings	2017	Shuangjie Peng Qingfang Wang Zhi-Qiang Wang
+	Multiple sign-changing and semi-nodal solutions for coupled Schrödinger equations	2013	Zhijie Chen Chang‐Shou Lin Wenming Zou
+	On the least energy sign-changing solutions for a nonlinear elliptic system	2014	Yohei Sato Zhi-Qiang Wang
+	On the semiclassical solutions of a two-component elliptic system in $$\mathbb {R}^4$$ R 4 with trapping potentials and Sobolev critical exponent: the repulsive case	2018	Yuanze Wu
+ PDF Chat	Hartree-Fock type systems: Existence of ground states and asymptotic behavior	2022	Pietro d’Avenia Liliane A. Maia Gaetano Siciliano
+	Positive solutions for Schrödinger system with asymptotically periodic potentials	2016	Jun Wang Qing He Lu Xiao Fubao Zhang

Works Cited by This (23)

Action	Title	Year	Authors
+ PDF Chat	Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability	1999	Peter W. Bates E. N. Dancer Junping Shi
+	Locating the peaks of least-energy solutions to a semilinear Neumann problem	1993	Wei-Ming Ni Izumi Takagi
+	On the diffusion coefficient of a semilinear Neumann problem	1988	Chang‐Shou Lin Wei‐Ming Ni
+	Interior and Boundary Peak Solutions for a Mixed Boundary Value Problem	1999	E. N. Dancer Shusen Yan
+ PDF Chat	Stationary solutions for the Cahn–Hilliard equation	1998	Juncheng Wei Matthias Winter
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong
+	Equilibria with Many Nuclei for the Cahn–Hilliard Equation	2000	Peter W. Bates Giorgio Fusco
+	Nonlinear scalar field equations, II existence of infinitely many solutions	1983	Henri Berestycki Pierre‐Louis Lions
+ PDF Chat	On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems	2000	Changfeng Gui Juncheng Wei
+ PDF Chat	Multipeak solutions for a singularly perturbed Neumann problem	1999	E. N. Dancer Shusen Yan