Positive entire solutions of nonlinear polyharmonic equations in R-2

    Authors

    X. Y. Xu; B. C. Yang;L. Debnath

    Comments

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    Abbreviated Journal Title

    Appl. Math. Comput.

    Keywords

    polyharmonic equation; positive entire solution; Lebesgue dominated; convergence theorem; relatively compact and equicontinuity; Mathematics, Applied

    Abstract

    In this paper, the existence of positive, radially symmetric entire solutions for the equations Delta(m)u = f (\x\, u, \delu\) (m = 2, 3,...) on R-2 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]. (C) 2002 Elsevier Science Inc. All rights reserved.

    Journal Title

    Applied Mathematics and Computation

    Volume

    126

    Issue/Number

    2-3

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    377

    Last Page

    388

    WOS Identifier

    WOS:000173667100016

    ISSN

    0096-3003

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