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

DOI10.1016/J.AML.2021.107900zbMath1485.35187OpenAlexW4205306389MaRDI QIDQ2077093

Song You, Wen Ming Zou

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107900

zbMATH Keywords

existencecritical exponentvariational argumentsnonlinear Schrödinger system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

Existence of positive solutions to critical Schrödinger system with mixed interactions in \(\mathbb{R}^3\) ⋮ Least energy positive solutions for \(d\)-coupled Schrödinger systems with critical exponent in dimension three

Cites Work

• Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
• Positive least energy solutions for a coupled Schrödinger system with critical exponent
• Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
• On vector solutions for coupled nonlinear Schrödinger equations with critical exponents
• Existence of least energy positive solutions to Schrödinger systems with mixed competition and cooperation terms: the critical case
• A simple variational approach to weakly coupled competitive elliptic systems
• On a class of coupled Schrödinger systems with critical Sobolev exponent growth
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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