Strong comparison principle for radial solutions of quasi-linear equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:258

Article

Prashanth, S

关键词: strong comparison principle;    p-Laplace operator;    quasi-linear equations;   

DOI  :  10.1006/jmaa.2000.7515

来源: Elsevier

【 摘 要 】

Let Omega be either a ball or an annulus centered about the origin in R-N and h, the usual p-Laplace operator in R-N. Let f(1), f(2) is an element of L-loc(1) (Omega) be two radial functions on Omega with f(1) less than or equal to f(2), f(1) not equivalent to f(2). Let b : R --> R be a non-decreasing continuous function. Let u(1), u(2) is an element of C-1,C-beta (Omega), beta is an element of (0, 1) be any two radial weak solutions of -Delta (p) u(i) = b(u(1)) + f(i) in Omega we then show that u(1) less than or equal to u(2) in Omega implies u(1) < u(2) in Omega and also that appropriate versions of Hopf boundary point principle hold. (C) 2001 Academic Press.

【 授权许可】

Free