Potential well and multiplicity of solutions for nonlinear Dirac equations

DOI10.3934/CPAA.2020028zbMath1428.35420OpenAlexW2964128854WikidataQ127459386 ScholiaQ127459386MaRDI QIDQ2332320

Tian Xu, Yu Chen, Yanheng Ding

Publication date: 4 November 2019

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020028

zbMATH Keywords

multiplicityDirac equationssemi-classical states

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

Higher topological type semiclassical states for Sobolev critical Dirac equations with degenerate potential ⋮ On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension \(n\) ⋮ Infinitely many localized semiclassical states for critical nonlinear Dirac equations ⋮ The solutions of critical nonlinear Dirac equations with degenerate potential

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