On some nonlinear elliptic problems in anisotropic Orlicz-Sobolev spaces

被引：1

作者：

Elarabi, Rabab ^{[1
]}

Lahmi, Badr ^{[1
]}

Ouyahya, Hakima ^{[1
]}

机构：

[1] Moulay Ismail Univ, Fac Sci, Equipe EDP & Calcul Sci, Lab Math Leurs Interact, Meknes, Morocco

来源：

ADVANCES IN OPERATOR THEORY | 2023年 / 8卷 / 02期

关键词：

Non-linear problem; Anisotropic Orlicz-Sobolev spaces; Orlicz function; Weak solution; Complementary system; EQUATIONS; EXISTENCE;

D O I：

10.1007/s43036-023-00252-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, the Dirichlet problem for a particular class of anisotropic elliptic equations is taken into account. The right-hand side of these equations is framed in anisotropic Orlicz-Sobolev spaces, and it is described by an Orlicz function that does not meet the delta 2-condition. Within this framework of these spaces, the existence and uniqueness of the weak solution are established.

引用

页数：19

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