Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities
نویسندگان
چکیده
We study the semi-classical ground states of the Dirac equation with critical nonlinearity: −i~α · ∇w + aβw + V (x)w = W (x) ( g(|w|) + |w| ) w for x ∈ R3. The Dirac operator is unbounded from below and above so the associate energy functional is strongly indefinite. We develop an argument to establish the existence of least energy solutions for ~ small. We also describe the concentration phenomena of the solutions as ~→ 0.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 44 شماره
صفحات -
تاریخ انتشار 2012