Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the <em>p</em>-Laplacian
Year: 2013
Author: Nedra Belhaj Rhouma, Amor Drissi, Wahid Sayeb
Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 2 : pp. 172–192
Abstract
Let D⊂R^N(N ≥ 3), be a smooth bounded domain with smooth boundary ∂D. In this paper, the existence of boundary blow-upweak solutions for the quasilinear elliptic equation Δ_pu=λk(x) f (u) in D(λ > 0 and 1 < p < N), is obtained under new conditions on k. We give also asymptotic behavior near the boundary of such solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v26.n2.6
Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 2 : pp. 172–192
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: p-Laplacian operator