Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the <em>p</em>-Laplacian

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

Author Details

Nedra Belhaj Rhouma

Amor Drissi

Wahid Sayeb

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    Bibliography

    2015

    https://doi.org/10.1201/b19418-15 [Citations: 0]