Existence results for some systems of coupled fractional nonlinear Schrödinger equations

DOI10.1090/conm/595/11805zbMath1291.35337OpenAlexW4232418488MaRDI QIDQ5413679

Eduardo Colorado

Publication date: 30 April 2014

Published in: Recent Trends in Nonlinear Partial Differential Equations II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/595/11805

zbMATH Keywords

critical point theorybound statesnonlinear Schrödinger equationsground statesfractional Laplacian

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Fractional partial differential equations (35R11)

Related Items (6)

On the existence of bound and ground states for some coupled nonlinear Schrödinger-Korteweg-de Vries equations ⋮ A higher order system of some coupled nonlinear Schrödinger and Korteweg-de Vries equations ⋮ Positive solutions to some systems of coupled nonlinear Schrödinger equations ⋮ Nonlinear fractional Schrödinger equations coupled by power-type nonlinearities ⋮ Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrödinger equations ⋮ Existence of bound and ground states for a system of coupled nonlinear Schrödinger-KdV equations

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