@Article{JPDE-26-172, author = {Belhaj Rhouma , NedraDrissi , Amor and Sayeb , Wahid}, title = {Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the p-Laplacian}, journal = {Journal of Partial Differential Equations}, year = {2013}, volume = {26}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v26.n2.6}, url = {http://global-sci.org/intro/article_detail/jpde/5160.html} }