Topological Degree Methods for Partial Differential Operators in Generalized Sobolev Spaces

被引：1

作者：

Hammou, Mustapha Ait ^{[1
]}

Azroul, Elhoussine ^{[1
]}

Lahmi, Badr ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Dept Math, Fes, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 02期

关键词：

Partial differential operators; General divergence form; Topological Degree; Generalized Sobolev spaces; MAPPINGS;

D O I：

10.5269/bspm.39179

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this paper is to prove, by using the topological degree methods, the existence of solutions for nonlinear elliptic equation Au = f where Au = Sigma(vertical bar alpha vertical bar<m) (-1)(vertical bar alpha vertical bar)D(alpha)A(alpha)(x, u, del u, ..., del(m)u) is partial differential operators of general divergence form and f is an element of W--m,W-p'(.) (Omega) with p(x) is an element of (1, infinity).

引用

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页码：39 / 61

页数：23

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