Uniqueness for elliptic problems with locally Lipschitz continuous dependence on the solution

详细信息    查看全文

• 作者：Filomena Feo^a ; ^{filomena.feo@uniparthenope.it} ; Olivier Guibé ; ^b ; ^{Olivier.Guibe@univ-rouen.fr}
• 关键词：35J60 ; 35R05 ; 35A02
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：262
• 期：3
• 页码：1777-1798
• 全文大小：344 K
• 卷排序：262

文摘

We consider a class of elliptic equations of the type−div(a(x,u,∇u))=f−divg with Dirichlet boundary conditions and with f   belonging to L1(Ω)L1(Ω). Using the framework of renormalized solutions we prove the uniqueness of a solution when the usual Lipschitz condition on the function a is relaxed.