Existence of positive solutions for a class of the p-Laplace equations
Yin Xi Huang
(Received 26 March 1992; revised 9 March 1993)
Abstract
We are concerned with the existence of solutions of
-D p =
f(x, u ) + h(x ) in W, u = 0 on ¶W,
where D p is the
p-Laplacian, p Î (1, ¥), and W is a bounded smooth domain
in Rn. For h(x) º 0 and f(x, u) satisfying proper asymptotic
spectral conditions, existence of a unique positive solution is obtained by
invoking the sub-supersolution technique and the spectral method. For
h(x) ¹ 0, with assumptions on asymptotic
behavior of f(x, u) as u ® ±¥, an
existence result is also proved.
Browse the article
Read the article in your browser. (Print at 75% on A4 paper).
Author
Yin Xi Huang
Department of Mathematical Sciences, Memphis State University,
Memphis, TN 38152, U.S.A.
Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au