Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904503 | Acta Mathematica Scientia | 2017 | 22 Pages |
Abstract
In the present paper, we consider elliptic equations with nonlinear and nonhomogeneous Robin boundary conditions of the type
{-div(B(x,u)âu)=finΩ,u=0onÎoB(x,u)âuâ
nâ+γ(x)h(u)=gonÎ1where f and g are the element of L1 (Ω) and L1 (Î1), respectively. We define a notion of renormalized solution and we prove the existence of a solution. Under additional assumptions on the matrix field B we show that the renormalized solution is unique.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Olivier GUIBÃ, Alip OROPEZA,