Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings (Q2108288)

scientific article; zbMATH DE number 7634222

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English	Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings	scientific article; zbMATH DE number 7634222

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instance of

scholarly article

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title

Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings (English)

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Boundary Value Problems

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publication date

19 December 2022

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zbMATH Keywords

fractional Schrödinger system

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variational methods

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ground state solution

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Nehari manifold

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13661-019-1185-1

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cites work

Existence of solutions for a Schrödinger system with linear and nonlinear couplings

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Existence and bifurcation of solutions for a double coupled system of Schrödinger equations

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Structure of positive solutions to a Schrödinger system

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

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Least energy solutions for a weakly coupled fractional Schrödinger system

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Semiclassical states for weakly coupled fractional Schrödinger systems

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Hitchhiker's guide to the fractional Sobolev spaces

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The Brezis-Nirenberg result for the fractional Laplacian

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Radial sign-changing solution for fractional Schrödinger equation

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A direct method of moving planes for the fractional Laplacian

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A direct method of moving spheres on fractional order equations

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On fractional Schrödinger equations in ${\mathbb R}^N$ without the Ambrosetti-Rabinowitz condition

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Best constants for Sobolev inequalities for higher order fractional derivatives

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

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Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations

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A critical fractional equation with concave-convex power nonlinearities

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Existence of solutions for perturbed fractional $p$-Laplacian equations

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Zero mass case for a fractional Berestycki-Lions-type problem

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The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach

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Combined effects for fractional Schrödinger–Kirchhoff systems with critical nonlinearities

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Variational Methods for Nonlocal Fractional Problems

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The Dirichlet problem for the $p$-fractional Laplace equation

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Positive solutions of a singular fractional boundary value problem with a fractional boundary condition

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Positive solutions to singular fractional differential system with coupled boundary conditions

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Existence of solutions for a sequential fractional differential system with coupled boundary conditions

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Periodic solutions of second-order differential equations with multiple delays

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Existence and nonexistence of positive solutions for the fractional coupled system involving generalized $p$-Laplacian

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Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations

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On a sign-changing solution for some fractional differential equations

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Positive solutions for a class of fractional 3-point boundary value problems at resonance

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Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and $p$-Laplacian operator

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Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions

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Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions

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On the existence of positive solutions and negative solutions of singular fractional differential equations via global bifurcation techniques

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The spectral analysis for a singular fractional differential equation with a signed measure

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Minimax theorems

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Identifiers

Mathematics Subject Classification ID

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10.1186/S13661-019-1185-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2108288