POSITIVE SOLUTIONS FOR EQUATIONS AND SYSTEMS WITH p-LAPLACE-LIKE OPERATORS
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
KHAYYAM PUBL CO INC
Abstract
We prove the existence of positive solutions to boundary-value problems of the form
(phi(u'))' + f (t, u) = 0, iota / E (0, 1)
theta(u(0)) = beta theta(u,'(0)), theta(u(1) = beta, delta >= 0,
where phi and theta are odd increasing homeomorphisms of the real line. We also prove the existence of positive solutions, to related systems. Our approach is via a priori estimates and Leray-Schauder degree.
(phi(u'))' + f (t, u) = 0, iota / E (0, 1)
theta(u(0)) = beta theta(u,'(0)), theta(u(1) = beta, delta >= 0,
where phi and theta are odd increasing homeomorphisms of the real line. We also prove the existence of positive solutions, to related systems. Our approach is via a priori estimates and Leray-Schauder degree.
Description
Keywords
BOUNDARY-VALUE-PROBLEMS, DIFFERENTIAL-EQUATIONS, NONLINEAR-SYSTEMS, PHI-LAPLACIAN, EXISTENCE