Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the p-Laplacian |
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Authors: | Nedra Belhaj Rhouma Amor Drissi & Wahid Sayeb |
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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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Keywords: | p-Laplacian operator sub and supersolution blow-up solutions comparison principle |
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