@Article{JPDE-26-2, author = {Rhouma, Nedra, Belhaj and Drissi, Amor and Wahid, Sayeb}, 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 = {https://global-sci.com/article/88327/existence-and-asymptotic-behavior-of-boundary-blow-up-weak-solutions-for-problems-involving-the-empem-laplacian} }