Solutions to a class of singular quasilinear elliptic equations

Lin Wei; Zuodong Yang

Lin Wei ; Zuodong Yang

Annales Polonici Mathematici, Tome 98 (2010), p. 231-240 / Harvested from The Polish Digital Mathematics Library

Résumé

We study the existence of positive solutions to ⎧ ${d i v (| \nabla u |}^{p - 2} \nabla u) + q (x) u^{- γ} = 0$ 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).

Publié le : 2010-01-01

Zbl 1193.35069

EUDML-ID : urn:eudml:doc:280453

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     title = {Solutions to a class of singular quasilinear elliptic equations},
     journal = {Annales Polonici Mathematici},
     volume = {98},
     year = {2010},
     pages = {231-240},
     zbl = {1193.35069},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-3}
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Lin Wei; Zuodong Yang. Solutions to a class of singular quasilinear elliptic equations. Annales Polonici Mathematici, Tome 98 (2010) pp. 231-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-3/