Existence of Solutions to Elliptic Problem with Convection Term and Lower-Order Term. (28th October 2020)

• Record Type: Journal Article
• Authors: He, Xiaohua; Huang, Shuibo; Tian, Qiaoyu; Xu, Yonglin
• Other Names: Sousa J. Vanterler da C. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-10-28
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/8816696
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we establish the existence of solutions to the following noncoercivity Dirichlet problem − div M x ∇ u + u p − 1 u = − div u E x + f x, x ∈ Ω, u x = 0, x ∈ ∂ Ω, where Ω ⊂ ℝ N N > 2 is a bounded smooth domain with 0 ∈ Ω, f belongs to the Lebesgue space L m Ω 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.