TY - JOUR
T1 - Existence and uniqueness of ground states for p-Choquard model
AU - Georgiev, Vladimir
AU - Tarulli, Mirko
AU - Venkov, George
N1 - Funding Information:
Vladimir Georgiev was supported in part by Project 2017 “Problemi stazionari e di evoluzione nelle equazioni di campo nonlineari” of INDAM, GNAMPA —Gruppo Nazionale per l’Analisi Matematica, la Probabilita e le loro Applicazioni , by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences , by Top Global University Project, Waseda University and the Project PRA 2018 49 of University of Pisa .
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2019/2
Y1 - 2019/2
N2 - We study the p-Choquard equation in Rn, 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.
AB - We study the p-Choquard equation in Rn, 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.
KW - Ground state
KW - Nonlocal nonlinearity
KW - p-Choquard equation
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U2 - 10.1016/j.na.2018.08.015
DO - 10.1016/j.na.2018.08.015
M3 - Article
AN - SCOPUS:85053205925
SN - 0362-546X
VL - 179
SP - 131
EP - 145
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
ER -