Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling (Q5234054)

scientific article; zbMATH DE number 7102681

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English	Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling	scientific article; zbMATH DE number 7102681

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instance of

scholarly article

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title

Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling (English)

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Journal of Mathematical Physics

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publication date

9 September 2019

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full work available at URL

https://arxiv.org/abs/1812.06761

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zbMATH Keywords

nonlinear fractional Schrödinger equation

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positive solution

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minimum points

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Lusternik-Schnirelmann theory

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critical points

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multiplicity results

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MaRDI profile type

Publication

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cites work

Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x) u^p +f(x)$ in $\mathbb{R}^N$

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Critical points and nonlinear variational problems

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Nonlinear scalar field equations. I: Existence of a ground state

0 references

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

0 references

Lusternik-Schnirelman category and nonlinear elliptic eigenvalue problems

0 references

Nonlocal diffusion and applications

0 references

An Extension Problem Related to the Fractional Laplacian

0 references

Multiplicity of positive and nodal solutions for nonlinear elliptic problems in $\mathbb{R}^ N$

0 references

Existence and asymptotic behavior of positive ground state solutions for coupled nonlinear fractional Kirchhoff-type systems

0 references

On strongly indefinite systems involving the fractional Laplacian

0 references

On the existence and regularity of ground states for a nonlinear system of coupled Schrödinger equations in $\mathbb{R}^N$

0 references

Concentration phenomenon for fractional nonlinear Schrödinger equations

0 references

Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

0 references

Concentrating standing waves for the fractional nonlinear Schrödinger equation

0 references

A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian

0 references

Hitchhiker's guide to the fractional Sobolev spaces

0 references

On the variational principle

0 references

Ground states and concentration phenomena for the fractional Schrödinger equation

0 references

Uniqueness and nondegeneracy of positive solutions of $(-\Delta )^su+u= u^p$ in $\mathbb R^N$ when s is close to 1

0 references

Nonexistence results for a class of fractional elliptic boundary value problems

0 references

Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension

0 references

Uniqueness of radial solutions for the fractional Laplacian

0 references

Solitary waves for some nonlinear Schrödinger systems

0 references

Semiclassical states for weakly coupled fractional Schrödinger systems

0 references

Least energy solutions for a weakly coupled fractional Schrödinger system

0 references

Uniqueness of positive solutions for a nonlinear elliptic system

0 references

Uniqueness of positive solutions of $\Delta u-u+u^ p=0$ in $R^ n$

0 references

Shape-changing collisions of coupled bright solitons in birefringent optical fibers.

0 references

Fractional quantum mechanics and Lévy path integrals

0 references

Spikes in two coupled nonlinear Schrödinger equations

0 references

Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials

0 references

Existence and multiplicity of positive solutions for two coupled nonlinear Schrödinger equations

0 references

The concentration-compactness principle in the calculus of variations. The locally compact case. I

0 references

The concentration-compactness principle in the calculus of variations. The locally compact case. II

0 references

Multiplicity of 2-nodal solutions for semilinear elliptic problems in $\mathbb R^N$

0 references

On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling

0 references

Positive solutions for a weakly coupled nonlinear Schrödinger system

0 references

Spike vector solutions for some coupled nonlinear Schrödinger equations

0 references

The Pohozaev identity for the fractional Laplacian

0 references

Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

0 references

Weak and viscosity solutions of the fractional Laplace equation

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Minimax theorems

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Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well

0 references

Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations

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Identifiers

zbMATH Open document ID

1428.35494

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DOI

10.1063/1.5087755

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5234054