Existence and concentrate behavior of positive solutions for Chern–Simons–Schrödinger systems with critical growth

DOI10.1080/17476933.2020.1723564zbMath1464.35100OpenAlexW3005969874MaRDI QIDQ5856356

Chun-Lei Tang, Gui-Dong Li, Yong-Yong Li

Publication date: 25 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1723564

zbMATH Keywords

existence of positive solutionsvariational methodTrudinger-Moser inequalityChern-Simons-Schrödinger system

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items (8)

Combined effects of concave and convex nonlinearities for the generalized Chern–Simons–Schrödinger systems with steep potential well and 1 < p < 2 < q < 6 ⋮ On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities ⋮ The existence and concentration of ground state solutions for Chern-Simons-Schrödinger systems with a steep well potential ⋮ The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems ⋮ Two normalized solutions for the Chern-Simons-Schrödinger system with exponential critical growth ⋮ Existence and concentration of ground state solutions for Chern-Simons-Schrödinger system with general nonlinearity ⋮ Sign-changing solutions for Chern-Simons-Schrödinger equations with asymptotically 5-linear nonlinearity ⋮ Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system

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