| Full text | |
| Author(s): |
Li, Haoyu
;
Maia, Braulio B. V.
;
Miyagaki, Olimpio H.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 75, n. 6, p. 19-pg., 2024-12-01. |
| Abstract | |
This paper is concerned with the existence of normalized solutions for the following class of Choquard elliptic problems:{-Delta u + lambda u (I-alpha & lowast; F(u)) f(u) + mu(I-alpha & lowast;|u|(q))|u|(q-2)u, in R-2, {integral(R2)|u|(2 )= a, where a> 0,I alpha is the Riesz potential,& lowast;represents the convolution operator,f has exponential critical growth in R-2,F(t) = integral(t)(0)f(s)ds, and 1+alpha/2<q<2+alpha 2. By variational methods, we prove the existence of two normalized solutions: one with negative energy and one with positive energy. (AU) | |
| FAPESP's process: | 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations |
| Grantee: | Ederson Moreira dos Santos |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 23/09656-8 - A study about elliptical partial differential equations of Choquard type |
| Grantee: | Braulio Brendo Vasconcelos Maia |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 22/15812-0 - A Proposal on Varational Methods to Elliptic Systems |
| Grantee: | Haoyu Li |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |