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Structure of Dirac matrices and invariants for nonlinear Dirac equations
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This paper is concerned with the multiplicity of solutions for the nonlinear Dirac equation −i∑k=13αk∂ku+(V(x)+a)βu+ωu=Fu(x,u), where V (x) is a potential function and F(x, u) is a nonlinear function modeling various types of interactions. Under suitable assumptions on V (x) and F(x, u), we prove the existence of infinitely many geometrically distinct ...
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