Least energy positive solutions for $d$-coupled Schrödinger systems with critical exponent in dimension three (Q6155326)

scientific article; zbMATH DE number 7694721

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English	Least energy positive solutions for $d$-coupled Schrödinger systems with critical exponent in dimension three	scientific article; zbMATH DE number 7694721

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scholarly article

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title

Least energy positive solutions for $d$-coupled Schrödinger systems with critical exponent in dimension three (English)

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Journal of Differential Equations

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publication date

12 June 2023

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full work available at URL

https://arxiv.org/abs/2204.00748

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zbMATH Keywords

Schrödinger system

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critical exponent

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existence of least energy solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Standing waves of some coupled nonlinear Schrödinger equations

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Nodal solutions of elliptic equations with critical Sobolev exponents

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A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems

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Formation of Radial Patterns via Mixed Attractive and Repulsive Interactions for Schrödinger Systems

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Some existence results for superlinear elliptic boundary value problems involving critical exponents

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Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case

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Ground state and multiple solutions for a critical exponent problem

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An optimal constant for the existence of least energy solutions of a coupled Schrödinger system

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Multiple solutions for the Brezis-Nirenberg problem

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Existence and phase separation of entire solutions to a pure critical competitive elliptic system

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A simple variational approach to weakly coupled competitive elliptic systems

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Semitrivial vs. fully nontrivial ground states in cooperative cubic Schrödinger systems with $d\geq 3$ equations

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The existence, uniqueness and nonexistence of the ground state to the<i>N</i>-coupled Schrödinger systems in $ \newcommand{\R}{{\mathbb R}} \boldsymbol{\R^n (n\leqslant 4)}$

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Quantitative properties of ground-states to an $M$-coupled system with critical exponent in $\mathbb{R}^N$

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On vector solutions for coupled nonlinear Schrödinger equations with critical exponents

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Ground state of $N$ coupled nonlinear Schrödinger equations in $\mathbb R^n$, $n \leq 3$

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Minimal energy solutions for cooperative nonlinear Schrödinger systems

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On Coron's problem for weakly coupled elliptic systems

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A fountain of positive bubbles on a Coron's problem for a competitive weakly coupled gradient system

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LEAST ENERGY NODAL SOLUTIONS OF THE BREZIS–NIRENBERG PROBLEM IN DIMENSION N = 5

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Least Energy Solutions for Nonlinear Schrödinger Systems with Mixed Attractive and Repulsive Couplings

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On the Brézis-Nirenberg problem

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New existence and symmetry results for least energy positive solutions of Schrödinger systems with mixed competition and cooperation terms

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On existence and phase separation of solitary waves for nonlinear Schrödinger systems modelling simultaneous cooperation and competition

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Least energy solitary waves for a system of nonlinear Schrödinger equations in ${\mathbb{R}^n}$

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Existence of least energy positive solutions to Schrödinger systems with mixed competition and cooperation terms: the critical case

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Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case

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Best constant in Sobolev inequality

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Radial solutions and phase separation in a system of two coupled Schrödinger equations

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Minimax theorems

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On a $K$-component elliptic system with the Sobolev critical exponent in high dimensions: the repulsive case

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Positive least energy solutions for a coupled Schrödinger system with critical exponent

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Positive least energy solutions for $k$-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case

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Existence of least energy positive solutions to critical Schrödinger systems in $\mathbb{R}^3$

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Identifiers

zbMATH Open document ID

1518.35299

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arXiv ID

2204.00748

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Mathematics Subject Classification ID

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10.1016/J.JDE.2023.04.039

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Sitelinks

Mathematics(1 entry)

mardi Publication:6155326

Least energy positive solutions for \(d\)-coupled Schrödinger systems with critical exponent in dimension three (Q6155326)

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Sitelinks

Mathematics(1 entry)