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- W2532084241 abstract "We study nondegeneracy of ground states of the Hartree equation $$ -Delta u+u=(I_{2}ast u^2)uquadmbox{ in }mathbb R^n $$ where $n=3,4,5$ and $I_2$ is the Newton potential. As an application of the nondegeneracy result, we use a Lyapunov-Schmidt reduction argument to construct multiple semiclassical solutions to the following Hartree equation with an external potential $$-varepsilon^2Delta u+u+V(x)u=varepsilon^{-2}(I_{2}ast u^2)uquad mbox{ in }mathbb R^n.$$" @default.
- W2532084241 created "2016-10-28" @default.
- W2532084241 creator A5009959305 @default.
- W2532084241 date "2016-10-18" @default.
- W2532084241 modified "2023-09-23" @default.
- W2532084241 title "Nondegeneracy of ground states and multiple semiclassical solutions of the Hartree equation for general dimensions" @default.
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- W2532084241 doi "https://doi.org/10.48550/arxiv.1610.05503" @default.
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