The existence of nontrivial solutions to Chern-Simons-Schrödinger systems
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Publication:514027
DOI10.3934/DCDS.2017119zbMath1376.35039OpenAlexW2589947533MaRDI QIDQ514027
Publication date: 8 March 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017119
Variational methods for elliptic systems (35J50) Schrödinger operator, Schrödinger equation (35J10) Second-order elliptic systems (35J47)
Related Items (30)
Combined effects of concave and convex nonlinearities for the generalized Chern–Simons–Schrödinger systems with steep potential well and 1 < p < 2 < q < 6 ⋮ Normalized solutions to the Chern-Simons-Schrödinger system ⋮ The existence and concentration of ground state solutions for Chern-Simons-Schrödinger systems with a steep well potential ⋮ A ground state solution to the Chern-Simons-Schrödinger system ⋮ Concentration of semi-classical solutions to the Chern-Simons-Schrödinger systems ⋮ Solutions to a modified gauged Schrödinger equation with Choquard type nonlinearity ⋮ The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems ⋮ Ground states for Chern-Simons-Schrödinger system with nonperiodic potential ⋮ Existence and concentration of ground state solutions for Chern-Simons-Schrödinger system with general nonlinearity ⋮ Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect ⋮ Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials ⋮ Generalized Chern-Simons-Schrödinger system with sign-changing steep potential well: critical and subcritical exponential case ⋮ Unnamed Item ⋮ Ground state solutions for the Chern–Simons–Schrödinger equations with general nonlinearity ⋮ Infinitely many high energy solutions for the generalized Chern-Simons-Schrödinger system ⋮ Standing waves of modified Schrödinger equations coupled with the Chern–Simons gauge theory ⋮ A positive ground state solution of asymptotically periodic Chern-Simons-Schrödinger systems with critical growth ⋮ Unnamed Item ⋮ Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system ⋮ Standing waves for a Schrödinger-Chern-Simons-Higgs system ⋮ Unnamed Item ⋮ Positive energy static solutions for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potentials ⋮ Existence of nontrivial solutions to Chern-Simons-Schrödinger system with indefinite potential ⋮ Solutions to Chern-Simons-Schrödinger systems with external potential ⋮ Existence, nonexistence and multiplicity results of a Chern-Simons-Schrödinger system ⋮ Existence and concentration of semiclassical ground state solutions for the generalized Chern-Simons-Schrödinger system in \(H^1(\mathbb{R}^2)\) ⋮ Existence and concentrate behavior of positive solutions for Chern–Simons–Schrödinger systems with critical growth ⋮ Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation ⋮ Ground state solutions for modified quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory ⋮ Positive ground state solutions for the Chern-Simons-Schrödinger system
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