Existence of Solutions for Quasilinear Elliptic Equations with Unbounded Coefficients on R<sup>N</sup>

Existence of Solutions for Quasilinear Elliptic Equations with Unbounded Coefficients on R<sup>N</sup>

Year:    2008

Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 2 : pp. 112–122

Abstract

In this paper a class of p-Laplace type elliptic equations with unbounded coefficients on R^N is considered. It is proved that there exist radial solutions on R^N. On sufficiently large ball, radial and nonradial solutions are obtained. Finally, some necessary conditions for the existence of solutions are given.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JPDE-5272

Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 2 : pp. 112–122

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Radial and nonradial solutions