Existence and uniqueness of ground states for p-Choquard model

Autor:	Mirko Tarulli, Vladimir Georgiev, George Venkov
Rok vydání:	2019
Předmět:	010101 applied mathematics Pure mathematics Ordinary differential system Applied Mathematics Gronwall's inequality 010102 general mathematics Symmetry in biology Uniqueness 0101 mathematics Ground state 01 natural sciences Analysis Mathematics
Zdroj:	Nonlinear Analysis. 179:131-145
ISSN:	0362-546X
DOI:	10.1016/j.na.2018.08.015
Popis:	We study the p -Choquard equation in R n , n ≥ 3 and establish existence and uniqueness of ground states for the corresponding Weinstein functional. For proving the uniqueness of ground states, we use the radial symmetry to transform the equation into an ordinary differential system, and applying the Pohozaev identities and Gronwall lemma we show that any two Weinstein minimizers satisfying the p -Choquard equation coincide.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a11ffa6df3384054d5604b96dec6066 https://doi.org/10.1016/j.na.2018.08.015 Zobrazit plný text záznamu Full Text from ScienceDirect