Existence of Solutions to Elliptic Problem with Convection Term and Lower-Order Term

In this paper, we establish the existence of solutions to the following noncoercivity Dirichlet problem −divMx∇u+up−1u=−divuEx+fx,x∈Ω,ux=0,x∈∂Ω, where Ω⊂ℝNN>2 is a bounded smooth domain with 0∈Ω, f belongs to the Lebesgue space LmΩ with m≥1,p>0. The main innovation point of this paper is the c...

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Bibliographic Details
Published in:Journal of function spaces 2020, Vol.2020 (2020), p.1-7
Main Authors: Xu, Yonglin, Tian, Qiaoyu, Huang, Shuibo, He, Xiaohua
Format: Article
Language:English
Subjects:
Convection
Dirichlet problem
Elliptic functions
Inequality
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Summary:In this paper, we establish the existence of solutions to the following noncoercivity Dirichlet problem −divMx∇u+up−1u=−divuEx+fx,x∈Ω,ux=0,x∈∂Ω, where Ω⊂ℝNN>2 is a bounded smooth domain with 0∈Ω, f belongs to the Lebesgue space LmΩ with m≥1,p>0. The main innovation point of this paper is the combined effects of the convection terms and lower-order terms in elliptic equations.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/8816696