Existence of least-energy sign-changing solutions for the Schrödinger-Bopp-Podolsky system with critical growth

DOI10.1007/s40840-022-01441-7zbMath1505.35145OpenAlexW4311529894MaRDI QIDQ2105921

Yi-Xin Hu, Xing-Ping Wu, Chun-Lei Tang

Publication date: 8 December 2022

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/s40840-022-01441-7

zbMATH Keywords

variational methodcritical growthsign-changing solutionnonlocal termSchrödinger-Bopp-Podolsky system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Second-order elliptic systems (35J47)

Related Items (4)

Sign-changing solutions for a class of Schrödinger-Bopp-Podolsky system with concave-convex nonlinearities ⋮ Concentrated solutions to the Schrödinger-Bopp-Podolsky system with a positive potential ⋮ Existence of solutions for nonlinear Dirac equations in the Bopp-Podolsky electrodynamics ⋮ Unnamed Item

Cites Work

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• Foundations of the new field theory
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• Hamilton-Jacobi formalism for Podolsky’s electromagnetic theory on the null-plane

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