Stationary states for nonlinear Dirac equations with superlinear nonlinearities
Keywords
Dirac equation, ground state solution, superlinear nonlinearitiesAbstract
In this paper we consider the nonlinear Dirac equation $$ -i\pa_t\psi=ic\hbar\sum^3_{k=1}\alpha_k\partial_k\psi-mc^2\beta\psi+ G_\psi(x,\psi). $$ Under suitable superlinear assumptions on the nonlinearities we can obtain the existence of at least one stationary state for the equation by applying a generalized linking theorem.Downloads
Published
2012-04-23
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1.
YANG, Minbo and DING, Yanheng. Stationary states for nonlinear Dirac equations with superlinear nonlinearities. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 39, no. 1, pp. 175 - 188. [Accessed 19 April 2024].
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