Uniqueness of solutions for some nonlinear Dirichlet problems

被引：18

作者：

Porretta, A ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年 / 11卷 / 04期

关键词：

nonlinear elliptic equations; uniqueness; L-1; data; entropy solutions;

D O I：

10.1007/s00030-004-0031-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider here a class of nonlinear Dirichlet problems, in a bounded domain Omega of the form { -div(a(x, u)delu) + div(Phi(u)) = f in Omega, u = 0 on thetaOmega, investigating the problem of uniqueness of solutions. The functions Phi(s) and s --> a(x, s) satisfy rather general assumptions of locally Lipschitz continuity (with possibly exponential growth) and the datum f is in L-1(Omega). Uniqueness of solutions is proved both for coercive a(x, s) and for the case of a(x, s) degenerating for s large.

引用

页码：407 / 430

页数：24

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