Positive least energy solutions for $k$-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case (Q2065139)

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

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title

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

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Journal of Fixed Point Theory and Applications

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publication date

7 January 2022

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full work available at URL

https://arxiv.org/abs/2105.10630

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zbMATH Keywords

nonlinear coupled Schrödinger system

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Sobolev critical exponent

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existence of positive least energy solutions

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MaRDI publication profile

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cites work

Some remarks on systems of elliptic equations doubly critical in the whole $\mathbb R^N$

0 references

Standing waves of some coupled nonlinear Schrödinger equations

0 references

Dual variational methods in critical point theory and applications

0 references

A note on the problem $-\Delta u=\lambda u+u\,| u| ^{2^*-2}$

0 references

Problèmes isoperimetriques et espaces de Sobolev

0 references

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

0 references

Q3409164

0 references

Bound states for a coupled Schrödinger system

0 references

Remarks on the Schrödinger operator with singular complex potentials

0 references

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

0 references

An existence result for nonliner elliptic problems involving critical Sobolev exponent

0 references

Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents

0 references

Multiple sign-changing and semi-nodal solutions for coupled Schrödinger equations

0 references

Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrödinger system

0 references

On the Brezis-Nirenberg problem in a ball.

0 references

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

0 references

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

0 references

A simple variational approach to weakly coupled competitive elliptic systems

0 references

Nehari's problem and competing species systems.

0 references

Asymptotic estimates for the spatial segregation of competitive systems

0 references

A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system

0 references

Concentration estimates and multiple solutions to elliptic problems at critical growth

0 references

Dark solitons in atomic Bose–Einstein condensates: from theory to experiments

0 references

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)}$

0 references

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

0 references

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

0 references

Spikes in two coupled nonlinear Schrödinger equations

0 references

A complete classification of ground-states for a coupled nonlinear Schrödinger system

0 references

Multiple mixed states of nodal solutions for nonlinear Schrödinger systems

0 references

INFINITELY MANY NODAL SOLUTIONS FOR A WEAKLY COUPLED NONLINEAR SCHRÖDINGER SYSTEM

0 references

Existence and bounds of positive solutions for a nonlinear Schrödinger system

0 references

Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition

0 references

On elliptic systems with Sobolev critical growth

0 references

Positive solutions for coupled Schrödinger system with critical exponent in $\mathbb{R}^{N}$ ($N\geq5$)

0 references

On the least energy sign-changing solutions for a nonlinear elliptic system

0 references

On the Brézis-Nirenberg problem

0 references

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

0 references

Sign-changing solutions of competition-diffusion elliptic systems and optimal partition problems

0 references

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

0 references

Multipulse phases in k-mixtures of Bose-Einstein condensates

0 references

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

0 references

Minimax theorems

0 references

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

0 references

Ground States of a $\mathrm{K}$-component critical system with linear and nonlinear couplings: the attractive case

0 references

On finding the ground state solution to the linearly coupled Brezis-Nirenberg system in high dimensions: the cooperative case

0 references

Stable and finite Morse index solutions of a nonlinear elliptic system

0 references

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

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Identifiers

zbMATH Open document ID

1481.35185

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DOI

10.1007/s11784-021-00923-8

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2065139

Positive least energy solutions for \(k\)-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case (Q2065139)

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Mathematics(1 entry)