Blow up solutions for one class of system of Pekar-Choquard type nonlinear Schrödinger equation

DOI10.1016/j.amc.2006.07.089zbMath1116.35110OpenAlexW2087150142MaRDI QIDQ878917

Jianqing Chen, Bo-ling Guo

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.089

zbMATH Keywords

blow upstationary solutionstanding wavestrong instabilityPekar-Choquard type system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

Related Items (10)

Positive solutions to a class of Choquard type equations with a competing perturbation ⋮ Nontrivial solutions for nonlinear Schrödinger-Choquard equations with critical exponents ⋮ Existence of positive ground state solutions for the coupled Choquard system with potential ⋮ Symmetry and nonsymmetry of minimal action sign-changing solutions for the Choquard system ⋮ Existence and qualitative properties of solutions for Choquard equations with a local term ⋮ Existence of solutions for a class of nonlinear Choquard equations with critical growth ⋮ Nodal solutions of a nonlocal Choquard equation in a bounded domain ⋮ A guide to the Choquard equation ⋮ Infinitely many bound states for Choquard equations with local nonlinearities ⋮ Existence and nonexistence of nodal solutions for Choquard type equations with perturbation

Cites Work

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• On bound state solutions for certain nonlinear Schrödinger equations
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Instability of nonlinear bound states
• Minimax theorems
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

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