Existence of Nodal Solutions for Dirac Equations with Singular Nonlinearities
نویسندگان
چکیده
منابع مشابه
Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities
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 pheno...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2012
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-012-0224-6