Generalized Choquard Equations Driven by Nonhomogeneous Operators

被引：20

作者：

Alves, Claudianor O. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
,4
]}

Tavares, Leandro S. ^{[5
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

[4] Romanian Acad, Inst Math Simion Stoilow, Bucharest 014700, Romania

[5] Univ Fed Cariri, Ctr Ciencias & Tecnol, BR-63048080 Juazeiro De Norte, CE, Brazil

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 01期

关键词：

Choquard equation; variational methods; nonlinear elliptic equation; Hardy-Littlewood-Sobolev inequality; LINEAR ELLIPTIC-EQUATIONS; EXISTENCE; WAVES;

D O I：

10.1007/s00009-018-1287-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we prove the existence of solutions for a class of generalized Choquard equations involving the phi-Laplacian operator. Our arguments are essentially based on variational methods. One of the main difficulties in this approach is to use the Hardy-Littlewood-Sobolev inequality for nonlinearities involving N-functions. The methods developed in this paper can be extended to wide classes of nonlinear problems driven by nonhomogeneous operators.

引用

页数：24

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