Existence results for elliptic problems with gradient terms via a priori estimates

被引：17
作者：
Baldelli L. [1 ]
Filippucci R. [2 ]
机构：
[1] Department of Mathematics, University of Firenze, Viale Morgagni 40-44, Firenze
[2] Department of Mathematics, University of Perugia, Via Vanvitelli 1, Perugia
来源：
Nonlinear Analysis, Theory, Methods and Applications | 2020年 / 198卷
关键词：
A priori estimates; Elliptic problems; Gradient terms;
D O I：
10.1016/j.na.2020.111894
中图分类号：
学科分类号：
摘要：
We prove existence of nonnegative solutions of a Dirichlet problem on a bounded smooth domain of RN for a p-Laplacian elliptic equation with a convection term. Our proof is based on a priori bounds for a suitable weighted norm involving the distance function from the boundary, obtained by adapting the technique developed by Barrios et al. [4] for nonlocal elliptic problems, which is a modification of the classical scaling blow up method due to Gidas and Spruck in the celebrated paper [25]. The conclusion then follows by using topological degree. © 2020 Elsevier Ltd
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