Potential well and multiplicity of solutions for nonlinear Dirac equations
Potential well and multiplicity of solutions for nonlinear Dirac equations
In this paper we consider the semi-classical solutions of a massive Dirac equations in presence of a critical growth nonlinearity \begin{document}$ -i\hbar \sum\limits_{k = 1}^{3}\alpha_k\partial_k w+a\beta w+V(x)w = f(|w|)w. $\end{document} Under a local condition imposed on the potential $ V $, we relate the number of solutions with the topology …