Nonlinear p(x)-Elliptic Equations in General Domains

被引：1

作者：

Azroul, Elhoussine ^{[1
]}

Khouakhi, Moussa ^{[1
]}

Yazough, Chihab ^{[2
]}

机构：

[1] Dhar El Mahraz Sidi Mohamed Ben Abdellah Univ, Fac Sci, Lab Math Anal & Applicat, Atlas Fes 1796, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, Fac Polydisciplinary Taza, LSI, BP 1223, Fes, Morocco

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2022年 / 30卷 / 03期

关键词：

Sobolev spaces with variable exponents; Strongly nonlinear elliptic equations; Unbounded domains; Existence results; Boundedness of solutions; ELLIPTIC-EQUATIONS; NATURAL GROWTH; VARIATIONAL-PROBLEMS; VARIABLE EXPONENT; EXISTENCE; REGULARITY;

D O I：

10.1007/s12591-018-0433-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove an existence result and some regularity for the solution of the strongly nonlinear p(x)-elliptic problem of the form: - div a(x , u, Vu) + c(x, u)+ H(x, u, Vu) = f(x) - div g(x) in Omega, u is an element of W-0(1,p(.)) (Omega), where H(x, s, xi) and c(x, s) are a nonlinear terms satisfying some growth condition but no sign condition on H. The assumptions on the source terms load to the existence of solutions. The domain Omega is allowed to have infinite Lebesgue measure.

引用

页码：607 / 630

页数：24

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