Degenerate elliptic equations with nonlinear boundary conditions and measures data

被引：0

作者：

Andreu, Fuensanta ^{[1
]}

Igbida, Noureddine ^{[2
]}

Mazon, Jose M. ^{[1
]}

Toledo, Julian ^{[1
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

[2] Univ Picardie Jules Verne, CNRS, LAMFA, UMR 6140, F-80038 Amiens, France

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2009年 / 8卷 / 04期

关键词：

SEMILINEAR EQUATIONS; SINGULARITIES; EXISTENCE; UNIQUENESS; L1;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the questions of existence and uniqueness of solutions for equations of type -div a(x, Du) + gamma(u) (sic) mu(1), posed in an open bounded subset Omega of R(N), with nonlinear boundary conditions of the form a(x, Du).eta+beta(u) (sic) mu(2). The nonlinear elliptic operator div a(x, Du) is modeled on the p-Laplacian operator Delta p(u) = div (vertical bar Du vertical bar(p-2)Du), with p > 1, gamma and beta are maximal monotone graphs in R(2) such that 0 is an element of gamma(0) boolean AND beta(0) and the data mu(1) and mu(2) are measures.

引用

页码：767 / 803

页数：37

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