In this article, we give an algorithm to obtain the existence of a solution for a quasilinear elliptic system. Our result is new and is based on a recent work of [R.J. Biezuner, J. Brown, G. Ercole and E.M. Martins, Computing the first eigenpair of the p-Laplacian via inverse iteration of sublinear supersolutions, J. Sci. Computation, 2011]. Such problems appear in boundary layer phenomena for viscous fluids, the equilibrium configuration of mass in a spherical cloud of gas, thermal explosion as well as in others applications.
On the existence of a solution to a quasilinear elliptic system of the Lane, Emden and Fowler type
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012 ; 2012 ; Vienna, Austria
AIP Conference Proceedings ; 1493 , 1 ; 252-255
2012-11-06
4 pages
Conference paper
Electronic Resource
English
On the existence of a solution to a quasilinear elliptic system of the Lane, Emden and Fowler type
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