An existence result for a quasilinear system with gradientterm under the Keller--Osserman conditions | Zendy

Dragos-Patru COVEI | Zendy

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

Author(s) -

Dragos-Patru COVEI

Publication year - 2014

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1304-22

Subject(s) - nabla symbol , mathematics , monotone polygon , laplace operator , operator (biology) , p laplacian , pure mathematics , type (biology) , elliptic curve , combinatorics , mathematical analysis , omega , geometry , physics , geology , chemistry , paleontology , biochemistry , repressor , quantum mechanics , transcription factor , gene , boundary value problem

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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