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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE