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Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 2

An existence result for a quasilinear system with gradient term under the Keller--Osserman conditions

Dragos-patru COVEI
Sayfa
267–277
Yayın Tarihi
2014-05-16
DOI
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The results of this paper supplement the existing results in the literature and complete those obtained by Jesse D Peterson and Aihua W Wood (Large solutions to non-monotone semilinear elliptic systems, Journal of Mathematical Analysis and Applications, Volume 384, pages 284--292, 2011).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We use some new technical tools to obtain the existence of entire solutions for the quasilinear elliptic system of type D pui+hi(\vert x\vert) \vert \nabla ui\vert p-1=ai(\vert x\vert ) fi(u1,u2) on RN (N\geq 3, i=1,2) where N-1\geq p>1, Dp is the p-Laplacian operator, and hi, ai, fi are suitable functions.
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Temel Bulgular & Veri:We use some new technical tools to obtain the existence of entire solutions for the quasilinear elliptic system of type D pui+hi(\vert x\vert) \vert \nabla ui\vert p-1=ai(\vert x\vert ) fi(u1,u2) on RN (N\geq 3, i=1,2) where N-1\geq p>1, Dp is the p-Laplacian operator, and hi, ai, fi are suitable functions.
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Sonuç & Katkı:The results of this paper supplement the existing results in the literature and complete those obtained by Jesse D Peterson and Aihua W Wood (Large solutions to non-monotone semilinear elliptic systems, Journal of Mathematical Analysis and Applications, Volume 384, pages 284--292, 2011).
🔬Tür:Araştırma Makalesi
📍Kapsam:2011 Verileri
⚙️Değişkenler:Entire solution · large solution · elliptic system

Özet

We use some new technical tools to obtain the existence of entire solutions for the quasilinear elliptic system of type D pui+hi(\vert x\vert) \vert \nabla ui\vert p-1=ai(\vert x\vert ) fi(u1,u2) on RN (N\geq 3, i=1,2) where N-1\geq p>1, Dp is the p-Laplacian operator, and hi, ai, fi are suitable functions. The results of this paper supplement the existing results in the literature and complete those obtained by Jesse D Peterson and Aihua W Wood (Large solutions to non-monotone semilinear elliptic systems, Journal of Mathematical Analysis and Applications, Volume 384, pages 284--292, 2011).

Abstract

We use some new technical tools to obtain the existence of entire solutions for the quasilinear elliptic system of type D pui+hi(\vert x\vert) \vert \nabla ui\vert p-1=ai(\vert x\vert ) fi(u1,u2) on RN (N\geq 3, i=1,2) where N-1\geq p>1, Dp is the p-Laplacian operator, and hi, ai, fi are suitable functions. The results of this paper supplement the existing results in the literature and complete those obtained by Jesse D Peterson and Aihua W Wood (Large solutions to non-monotone semilinear elliptic systems, Journal of Mathematical Analysis and Applications, Volume 384, pages 284--292, 2011).

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Bu Makaleye Atıf Yap

COVEI, D. (2014). An existence result for a quasilinear system with gradient term under the Keller--Osserman conditions. Turkish Journal of Mathematics, Cilt: 38 - Sayı: 2, 267–277. https://ajindex.com/articles/185720

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Kaynakça (14)

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  12. Silva, S.S.: Existencia e nao existenia de grandes solucoes inteiras para problemas elipticos semilineares. PhD, University of Brasilia, 2010.
  13. Yang, Y., Zhang, X.: Entire blow-up solutions of semilinear elliptic systems with quadratic gradient terms. Abstr. Appl. Anal. 2012, 697565 (2012).
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