A-priori bounds and existence for solutions of weighted elliptic equations with a convection term
A-priori bounds and existence for solutions of weighted elliptic equations with a convection term
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DOI：
10.1515/anona-2015-0177
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发表时间：
2017-11
影响因子：
4.2
通讯作者：
Ky Ho;Inbo Sim
中科院分区：
文献类型：
--
作者：
Ky Ho;Inbo Sim
摘要研究了一类带变指数对流项的加权椭圆型方程，其边界条件为Dirichlet或Neumann边界条件。通过采用De Giorgi迭代和局部化方法，我们给出了这些问题的解的先验界。利用伪单调算子的Brezis定理也证明了解的存在性。
Abstract We investigate weighted elliptic equations containing a convection term with variable exponents that are subject to Dirichlet or Neumann boundary condition. By employing the De Giorgi iteration and a localization method, we give a-priori bounds for solutions to these problems. The existence of solutions is also established using Brezis’ theorem for pseudomonotone operators.