Existence and nonexistence of solutions to nonlocal elliptic problems

被引:0
|
作者
Bueno, Hamilton [1 ]
Pereira, Gilberto A. [1 ]
Silva, Edcarlos D. [2 ]
Ruviaro, Ricardo [3 ]
机构
[1] Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
[2] Univ Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, GO, Brazil
[3] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源
关键词
Pohozaev identity; Variational methods; Hartree equations; Nonlocal elliptic problems; Regularity results; GROUND-STATES; SCHRODINGER; EQUATIONS; SOBOLEV; LIMIT; FIELD;
D O I
10.1007/s42985-021-00142-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页数:32
相关论文
共 50 条