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

Authors

  • Nedra Belhaj Rhouma Faculty of Sciences of Tunis, University of Tunis El-Manar 2092, Campus Universitaire, Tunisia
  • Amor Drissi Faculty of Sciences of Tunis, University of Tunis El-Manar 2092, Campus Universitaire, Tunisia
  • Wahid Sayeb Faculty of Sciences of Tunis, University of Tunis El-Manar 2092, Campus Universitaire, Tunisia

DOI:

https://doi.org/10.4208/jpde.v26.n2.6

Keywords:

p-Laplacian operator;sub and supersolution;blow-up solutions;comparison principle

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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Published

2013-06-02

Issue

Vol. 26 No. 2 (2013)

Section

Articles