Title

Positive Entire Solutions Of Nonlinear Polyharmonic Equations In R2

Keywords

Lebesgue dominated convergence theorem; Polyharmonic equation; Positive entire solution; Relatively compact and equicontinuity

Abstract

In this paper, the existence of positive, radially symmetric entire solutions for the equations Δmu=f(|x|, u, |∇u|) (m=2,3,...) on R2 is proved. Some properties of the solutions are obtained. The results of this paper are generalizations of these proved in [W. Water, Math. Z 67 (1957) 32-37; W. Water, Arch. Math 9 (1958) 308-312; W. Water, H. Rhee, Proc. Royal Soc. Edinburgh A 82 (1979) 189-192; T. Kusno, C.A. Swanson, Hiroshima Math. J. 17 (1989) 13-28]. © 2002 Elsevier Science Inc. All rights reserved.

Publication Date

3-10-2002

Publication Title

Applied Mathematics and Computation

Volume

126

Issue

2-3

Number of Pages

377-388

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0096-3003(00)00169-7

Socpus ID

0037051060 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0037051060

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