Ground state solutions for modified quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory

DOI10.1080/00036811.2020.1836355zbMath1491.35225OpenAlexW3094591263MaRDI QIDQ5865346

Yingying Xiao, Chuan-Xi Zhu, Jian-Hua Chen

Publication date: 13 June 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1836355

zbMATH Keywords

quasilinear Schrödinger equationPohožaev identityexistence of ground state solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (1)

Solutions to a modified gauged Schrödinger equation with Choquard type nonlinearity

Cites Work

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• Existence and concentration of semiclassical ground state solutions for the generalized Chern-Simons-Schrödinger system in \(H^1(\mathbb{R}^2)\)
• Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
• Ground state solutions for a quasilinear Schrödinger equation
• Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
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• Existence of ground states for a modified nonlinear Schrödinger equation
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N

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