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Volume 26, Issue 2
Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the p-Laplacian

Nedra Belhaj Rhouma, Amor Drissi & Wahid Sayeb

DOI: 10.4208/jpde.v26.n2.6

J. Part. Diff. Eq., 26 (2013), pp. 172-192.

Published online: 2013-06

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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.

  • Keywords

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

  • AMS Subject Headings

34B27, 35B40, 35B50

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

nedra.belhajrhouma@fst.rnu.tn (Nedra Belhaj Rhouma)

amor.drissi@fst.rnu.tn (Amor Drissi)

wahid.sayeb@yahoo.fr (Wahid Sayeb)

  • BibTex
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  • TXT
@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} }
TY - JOUR T1 - Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the p-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 -

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.

Belhaj Rhouma , NedraDrissi , Amor and Sayeb , Wahid. (2013). Existence and Asymptotic Behavior of Boundary Blow-up Weak Solutions for Problems Involving the p-Laplacian. Journal of Partial Differential Equations. 26 (2). 172-192. doi:10.4208/jpde.v26.n2.6
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