On positive radial solutions for a class of elliptic equations.
A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term f(s, u) need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. Our conclusions are essential improvements of the results in Lan and Webb (1998), Lee (1997), Mao and Xue (2002), Stańczy (2000), and Han and Wang (2006).
College of Science, Xi'an University of Science and Technology, Xi'an, Shaanxi 710054, China.
Ying
Y
Wu
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China.
Guodong
0000-0002-9243-1291
G
Han
D008962:Models, Theoretical