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

DOI10.1016/j.jmaa.2014.03.028zbMath1312.35086OpenAlexW2009210806MaRDI QIDQ489014

Yanfang Peng, Hongyu Ye

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.028

zbMATH Keywords

variational methodscritical exponentscoupled Brezis-Nirenberg problempositive least energy solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (10)

Positive ground states for nonlinearly coupled Choquard type equations with lower critical exponents ⋮ Positive solutions for coupled Schrödinger system with critical exponent in \(\mathbb{R}^{N}\) (\(N\geq5\)) ⋮ Positive solutions for critically coupled Schrödinger systems with attractive interactions ⋮ Existence of positive solutions to critical Schrödinger system with mixed interactions in \(\mathbb{R}^3\) ⋮ Positive solution for an elliptic system with critical exponent and logarithmic terms: the higher-dimensional cases ⋮ Least energy positive solutions for \(d\)-coupled Schrödinger systems with critical exponent in dimension three ⋮ On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent ⋮ Ground state for a coupled elliptic system with critical growth ⋮ Positive least energy solutions for \(k\)-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case ⋮ Existence of least energy positive solutions to critical Schrödinger systems in \(\mathbb{R}^3\)

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