Existence of positive solutions to a linearly coupled Schrödinger system with critical exponent (Q4554612)

scientific article; zbMATH DE number 6975600

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English	Existence of positive solutions to a linearly coupled Schrödinger system with critical exponent	scientific article; zbMATH DE number 6975600

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instance of

scholarly article

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title

Existence of positive solutions to a linearly coupled Schrödinger system with critical exponent (English)

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Communications in Contemporary Mathematics

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publication date

9 November 2018

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zbMATH Keywords

nonlinear Schrödinger system

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critical exponent

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positive solution

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MaRDI profile type

MaRDI publication profile

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cites work

Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials

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Remarks on some systems of nonlinear Schrödinger equations

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Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)

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Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations

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On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)

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On the existence of a positive solution of semilinear elliptic equations in unbounded domains

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Sign Changing Solutions of Superlinear Schrödinger Equations

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Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Some nonlinear elliptic problems in unbounded domains

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On coupled systems of Schrödinger equations

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Ground states for a system of Schrödinger equations with critical exponent

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On linearly coupled Schrödinger systems

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On the existence of positive entire solutions of a semilinear elliptic equation

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Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents

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Multiple existence of solutions for a nonhomogeneous elliptic problem with critical exponent on \(\mathbb R^N\)

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Nehari-type ground state solutions for Schrödinger equations including critical exponent

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

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Ground states of a nonlinear Schrödinger system with nonconstant potentials

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Positive solutions of a nonlinear Schrödinger system with nonconstant potentials

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Positive solutions for a weakly coupled nonlinear Schrödinger system

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Positive solutions of the elliptic equation \(\Delta u + u^{(n+2)/(n-2)} + K(x) u^ q =0\) in \(\mathbb{R}^ n\) and in balls

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Coupled nonlinear Schrödinger systems with potentials

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On a class of nonlinear Schrödinger equations

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Minimizers and symmetric minimizers for problems with critical Sobolev exponents

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Minimax theorems

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Two coupled nonlinear Schrödinger equations involving a non-constant coupling coefficient

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full work available at URL

https://doi.org/10.1142/s0219199717500821

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Identifiers

zbMATH Open document ID

1402.35097

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DOI

10.1142/S0219199717500821

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4554612