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.
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页码：407 / 430
页数：24
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