scholarly journals Correction to ”Regularizing Effect of a Lower Order Term in Dirichlet Problems with a Singular Convection Term” [Milan J. Math. 87 (2019) 1-19]

2020 ◽  
Vol 88 (1) ◽  
pp. 263-266
Author(s):  
Francesco Clemente
Keyword(s):  
Lower Order ◽  
Order Term ◽  
Lower Order Term ◽  
Convection Term ◽  
Dirichlet Problems

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

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xiaohua He ◽  
Shuibo Huang ◽  
Qiaoyu Tian ◽  
Yonglin Xu
Keyword(s):  
Dirichlet Problem ◽  
Lower Order ◽  
Elliptic Equations ◽  
Existence Of Solutions ◽  
Order Term ◽  
Combined Effects ◽  
Convection Term ◽  
Bounded Smooth Domain ◽  
Bounded Smooth ◽  
Lower Order Terms

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.

Elliptic equations with general singular lower order term and measure data

2015 ◽  
Vol 128 ◽  
pp. 391-411 ◽  
Author(s):  
Linda Maria De Cave ◽  
Francescantonio Oliva
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Order Term ◽  
Lower Order Term ◽  
Measure Data
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