Infinitely many solutions to a class of quasilinear Schrödinger system in \(\mathbb{R}^N\)

DOI10.1016/j.aml.2015.09.007zbMath1332.35109OpenAlexW1804520567MaRDI QIDQ901016

Caisheng Chen

Publication date: 23 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2015.09.007

zbMATH Keywords

mountain pass lemma\((PS)\) conditionquasilinear Schrödinger system

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Quasilinear elliptic equations with (p)-Laplacian (35J92) Higher-order elliptic systems (35J48)

Related Items (7)

Infinitely many solutions for quasilinear Schrödinger equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities ⋮ On a nonlocal elliptic system of Hardy‐Kirchhoff type with critical exponents ⋮ Infinitely many solutions for \(p\)-biharmonic equation with general potential and concave-convex nonlinearity in \(\mathbb{R}^{N}\) ⋮ Unnamed Item ⋮ Critical Schrödinger-Hardy systems in the Heisenberg group ⋮ Combined effects for fractional Schrödinger–Kirchhoff systems with critical nonlinearities

Cites Work

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• Ground state solutions for quasilinear Schrödinger systems
• Positive solutions to some systems of coupled nonlinear Schrödinger equations
• Multiplicity and regularity results for some quasilinear elliptic systems on \({\mathbb{R}}^N\)
• On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system
• Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Ground states of nonlinear Schrödinger systems

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