Electro-magneto-static study of the nonlinear Schrödinger equation coupled with Bopp-Podolsky electrodynamics in the Proca setting

DOI10.3934/dcds.2019291zbMath1428.35515OpenAlexW2970821659MaRDI QIDQ2272765

Emmanuel Hebey

Publication date: 20 September 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2019291

zbMATH Keywords

Schrödinger equationstability theoryBopp-Podolski electrodynamicsfourth order systems of equationsproca setting

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Partial differential equations on manifolds; differential operators (58J99) Systems of nonlinear higher-order PDEs (35G50)

Related Items (10)

Schrödinger–Poisson–Proca systems in EMS regime ⋮ Strong convergence in Bopp-Podolsky-Proca type constructions ⋮ Multiple solutions for a Schrödinger–Bopp–Podolsky system with positive potentials ⋮ Normalized solutions for Schrödinger type equations under Neumann boundary conditions ⋮ Existence of solutions for nonlinear Dirac equations in the Bopp-Podolsky electrodynamics ⋮ Unnamed Item ⋮ Strong convergence of the Bopp-Podolsky-Schrödinger-Proca system to the Schrödinger-Poisson-Proca system in the electro-magneto-static case ⋮ Multiple solutions and profile description for a nonlinear Schrödinger-Bopp-Podolsky-Proca system on a manifold ⋮ Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case ⋮ Normalized solutions to a Schrödinger–Bopp–Podolsky system under Neumann boundary conditions

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