Sub-supersolution Method for Nonlinear Elliptic Equation with non-coercivity in divergentiel form in Orlicz Spaces

被引：1

作者：

Ahmed, Aberqi ^{[1
]}

Jaouad, Bennouna ^{[2
]}

Mhamed, Elmassoudi ^{[2
]}

机构：

[1] Univ Fez, Natl Sch Appl Sci Fez, Fes, Morocco

[2] Univ Fez, Fac Sci Dhar El Mahraz, Dept Math, BP 1796, Atlas Fez, Morocco

来源：

2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, ICAM'2018 | 2019年 / 2074卷

关键词：

INEQUALITIES;

D O I：

10.1063/1.5090621

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we shall be concerned with the existence result to the nonlinear elliptic equations -div(a(x,u,del u))+Phi(x, u))+g(x,u,del u) = 0, in the setting of Orlicz spaces. The results obtained are proved using the sub- and supersolution method.

引用

收藏

页数：18

相关论文

共 16 条

[1] Nonlinear parabolic inequalities with lower order terms [J].

Aberqi, A. ;

Bennouna, J. ;

Mekkour, M. ;

Redwane, H. .

APPLICABLE ANALYSIS, 2017, 96 (12) :2102-2117

[2]

Adams R. A., 1975, SOBOLEV SPACES

[3]

[Anonymous], 1963, MATH Z, DOI DOI 10.1007/BF01111422

[4] Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application [J].

Benkirane, A ;

Elmahi, A .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (11) :1769-1784

[5]

Carl S., 2006, NONSMOOTH VARIATIONA

[6]

DEUEL J, 1974, CR ACAD SCI A MATH, V279, P719

[7] EXISTENCE RESULT FOR NONLINEAR PARABOLIC EQUATIONS WITH LOWER ORDER TERMS [J].

Di Nardo, Rosaria ;

Feo, Filomena ;

Guibe, Olivier .

ANALYSIS AND APPLICATIONS, 2011, 9 (02) :161-186

[8]

Dong G., 2015, BOUND VALUE PROBL, V18, P22

[9] Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces [J].

Dong, Ge ;

Fang, Xiaochun .

BOUNDARY VALUE PROBLEMS, 2016,

[10] Variational Inequalities with Multivalued Lower Order Terms and Convex Functionals in Orlicz-Sobolev Spaces [J].

Dong, Ge ;

Fang, Xiaochun .

JOURNAL OF FUNCTION SPACES, 2015, 2015