Solutions to a class of singular quasilinear elliptic equations

Lin Wei; Zuodong Yang

Annales Polonici Mathematici (2010)

  • Volume: 98, Issue: 3, page 231-240
  • ISSN: 0066-2216

Abstract

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

How to cite

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Lin Wei, and Zuodong Yang. "Solutions to a class of singular quasilinear elliptic equations." Annales Polonici Mathematici 98.3 (2010): 231-240. <http://eudml.org/doc/280453>.

@article{LinWei2010,
abstract = {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).},
author = {Lin Wei, Zuodong Yang},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {3},
pages = {231-240},
title = {Solutions to a class of singular quasilinear elliptic equations},
url = {http://eudml.org/doc/280453},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Lin Wei
AU - Zuodong Yang
TI - Solutions to a class of singular quasilinear elliptic equations
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 3
SP - 231
EP - 240
AB - 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).
LA - eng
UR - http://eudml.org/doc/280453
ER -

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