TY - JOUR
T1 - Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the <em>p</em>-Laplacian
AU - Belhaj Rhouma , Nedra
AU - Drissi , Amor
AU - Sayeb , Wahid
JO - Journal of Partial Differential Equations
VL - 2
SP - 172
EP - 192
PY - 2013
DA - 2013/06
SN - 26
DO - http://doi.org/10.4208/jpde.v26.n2.6
UR - https://global-sci.org/intro/article_detail/jpde/5160.html
KW - p-Laplacian operator
KW - sub and supersolution
KW - blow-up solutions
KW - comparison principle
AB - <p>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 &gt; 0 and 1 &lt; p &lt; N), is obtained under new conditions on k. We give also asymptotic behavior near the boundary of such solutions.</p>