Existence and nonexistence of solutions to nonlocal elliptic problems.

Abstract
It is established existence and nonexistence of solutions to nonlocal elliptic problems involving the generalized pseudo-relativistic Hartree equation. Our arguments are based on variational methods together with a fine analysis on the Pohozaev identity.
Description
Keywords
Pohozaev identity, Variational methods, Hartree equations, Regularity results
Citation
BUENO, H. P. et al. Existence and nonexistence of solutions to nonlocal elliptic problems. Partial Differential Equations and Applications, v. 3, n. 8, 2022. Disponível em: <https://link.springer.com/article/10.1007/s42985-021-00142-3>. Acesso em: 06 jul. 2023.