NON-LINEAR ELLIPTIC AND PARABOLIC EQUATIONS INVOLVING MEASURE DATA
NON-LINEAR ELLIPTIC AND PARABOLIC EQUATIONS INVOLVING MEASURE DATA
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DOI：
10.1016/0022-1236(89)90005-0
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发表时间：
1989-11-01
影响因子：
1.7
通讯作者：
GALLOUET, T
中科院分区：
文献类型：
--
作者：
BOCCARDO, L;GALLOUET, T
本文证明了−div(a(·，Du))=f型方程在Ω上有界开集∂Ω上u=0的解的存在性，其中a是满足某些强迫性和单调性假设的可能非线性函数，f是有界度量.我们还考虑了方程−div(a(·，Du))+g(·，u)=f在Ω中，u=0在∂Ω(其中fϵL 1(Ω)，或fϵM(Ω)，(·，u)·u≧0)和抛物等价的第一(椭圆)方程。
In this paper we prove the existence of solutions for equations of the type− div (a (·, Du))= f in a bounded open set Ω, u= 0 on∂ Ω, where a is a possibly non-linear function satisfying some coerciveness and monotonicity assumptions and f is a bounded measure. We also consider the equation− div (a (·, Du))+ g (·, u)= f in Ω, u= 0 on∂ Ω (with f ϵ L 1 (Ω), or f ϵ M (Ω),(·, u)· u≧ 0) and the parabolic equivalent of the first (elliptic) equation.