Positive Solutions of Systems of Semilinear Elliptic Equations: The Pendulum Method,
FLORIDA UNIV GAINESVILLE DEPT OF MATHEMATICS
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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.
- Statistics and Probability