Radial entire solutions of a class of quasilinear elliptic equations

Takaŝi Kusano, Charles A Swanson

doi:10.1016/0022-0396(90)90064-v

Radial entire solutions of a class of quasilinear elliptic equations

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書誌事項

公開日: 1990-02

権利情報

https://www.elsevier.com/tdm/userlicense/1.0/
https://www.elsevier.com/open-access/userlicense/1.0/

DOI

10.1016/0022-0396(90)90064-v

公開者: Elsevier BV

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説明

will be examined under suitable conditions on the functions f: 8, x R -+ R and g: R, -+R+, where R, =(O, 00); R, = [0, co), and 2 is a real parameter. The capillarity equation and the equation of prescribed mean curvature are important special cases of (1.1) for which g(p) = (1 + P’)-“~ and fir, U) is suitably specialized [ 1, 2, 3, 4, 10, 11, 12, 131. An entire solution of (1.1) is defined to be a function u E C*(R”) satisfying (1.1) at every point XE RN. Our primary objective is to obtain sufficient conditions on f and g for (1.1) to have positive radial entire solutions of the following three types: