Accession Number:
ADA141504
Title:
On Pairs of Positive Solutions for a Class of Semilinear Elliptic Problems.
Descriptive Note:
Technical summary rept.,
Corporate Author:
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s):
Report Date:
1984-03-01
Pagination or Media Count:
28.0
Abstract:
In this paper the author discuss the Dirichlet problem -delta u fu in omega, u greater than O in omega, u O on curly d omega under the hypotheses of sublinearity at O and superlinearity at infinity. The dominating theme throughout the paper is that of a supersolution of 1. They prove theorems on the existence of two solutions whenever problem 1 possesses a supersolution, using topological degree arguments or variational methods according to the type of growth of f at infinity. Also treated are questions of existence of supersolutions and their actual construction. Schwarz symmetrization techniques are used to obtain supersolutions from solutions of associated symmetrized problems. Author
Descriptors:
Subject Categories:
- Theoretical Mathematics