Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation

Autor:	Olímpio H. Miyagaki, Hamilton Bueno, G.A. Pereira, P. Belchior
Rok vydání:	2020
Předmět:	Physics General Mathematics 010102 general mathematics 01 natural sciences 010101 applied mathematics Nonlinear system Mathematics - Analysis of PDEs Hartree equation Bounded function FOS: Mathematics 0101 mathematics Exponential decay Ground state Analysis of PDEs (math.AP) Mathematical physics
Zdroj:	Asymptotic Analysis. 118:269-295
ISSN:	1875-8576 0921-7134
DOI:	10.3233/asy-191561
Popis:	With appropriate hypotheses on the nonlinearity $f$, we prove the existence of a ground state solution $u$ for the problem \[\sqrt{-\Delta+m^2}\, u+Vu=\left(W*F(u)\right)f(u)\ \ \text{in }\ \mathbb{R}^{N},\] where $V$ is a bounded potential, not necessarily continuous, and $F$ the primitive of $f$. We also show that any of this problem is a classical solution. Furthermore, we prove that the ground state solution has exponential decay.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::640222a8da8857ec3080e4bfe3a819b4 https://doi.org/10.3233/asy-191561 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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