首页|An elliptic problem in dimension N with a varying drift term bounded in LN
An elliptic problem in dimension N with a varying drift term bounded in LN
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NETL
NSTL
Ios Press
The present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in LN(Q), with N the dimension of the space. It is known that there exists a unique solution for each of these problems in the Sobolev space H 0 1 (Q). However, because the operators are not coercive, there is no uniform estimate of the solutions in this space. We use some estimates in (J. Differential Equations 258 (2015) 2290-2314), and a regularization obtained by adding a small nonlinear first order term, to pass to the limit in these problems.
NETL
NSTL
Ios Press
