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：

PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2022年 / 3卷 / 01期

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

页数：32

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