Concentration of nodal solutions for semiclassical quadratic choquard equations

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS(2023)

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摘要
In this article concerns the semiclassical Choquard equation -epsilon 2 Delta u+ V(x)u = epsilon-2( 1 |center dot| * u2)u for x is an element of R3 and small epsilon. We establish the existence of a sequence of localized nodal solutions concentrating near a given local mini-mum point of the potential function V, by means of the perturbation method and the method of invariant sets of descending flow.
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关键词
choquard equation,sign-changing solution,perturbation method,fredholm operator,nodal solution
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