Solutions to a class of singular quasilinear elliptic equations

• Autorzy: Lin Wei , Zuodong Yang
• Języki publikacji: EN

Abstrakty

EN

We study the existence of positive solutions to
⎧ $div(|∇u|^{p-2}∇u) + q(x)u^{-γ} = 0$ on Ω,
⎨
⎩ u = 0 on ∂Ω,
where Ω is $ℝ^{N}$ or an unbounded domain, q(x) is locally Hölder continuous on Ω and p > 1, γ > -(p-1).

Kategorie tematyczne

• 35J62: Quasilinear elliptic equations
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 3
• Strony: 231-240

Daty

wydano

2010

Twórcy

autor

Lin Wei

• Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Nanjing 210046, Jiangsu, China

autor

Zuodong Yang

• Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Nanjing 210046, Jiangsu, China
• College of Zhongbei, Nanjing Normal University, Nanjing 210046, Jiangsu, China

Identyfikatory

DOI

10.4064/ap98-3-3