The Schrödinger-Bopp-Podolsky equation under the effect of nonlinearities

DOI10.1007/s40840-020-00994-9zbMath1465.35186OpenAlexW3047799616MaRDI QIDQ2021675

Jian-Hua Chen, Yu-Ting Zhu, Chun-Fang Chen

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00994-9

zbMATH Keywords

variational methodsmultiplicity of solutionspositive solutionground state solutionSchrödinger-Bopp-Podolsky system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Higher-order elliptic systems (35J48)

Related Items (7)

Critical Schrödinger-Bopp-Podolsky system with prescribed mass ⋮ Sign-changing solutions for a class of Schrödinger-Bopp-Podolsky system with concave-convex nonlinearities ⋮ Normalized solutions for the critical Schrödinger-Bopp-Podolsky system ⋮ Existence of solutions for nonlinear Dirac equations in the Bopp-Podolsky electrodynamics ⋮ Unnamed Item ⋮ Existence and multiplicity of solutions for the Schrödinger-Bopp-Podolsky system ⋮ Sign-changing solutions for Schrödinger-Bopp-Podolsky system with general nonlinearity

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