Accession Number:

ADA171939

Title:

Positive Solutions of Systems of Semilinear Elliptic Equations: The Pendulum Method,

Descriptive Note:

Corporate Author:

FLORIDA UNIV GAINESVILLE DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1986-01-01

Pagination or Media Count:

34.0

Abstract:

Conditions are formulated which guarantee the existence of positive solutions for simultaneous systems on an open domain with each constant is a positive measure. The main tools used are probabilistic potential theory, Markov processes, and an iterative scheme which is not a generalization of the one used for quasi-monotone systems. Quasi-monotonicity is not assumed and new results are obtained.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE