Triple positive solutions for the Φ-Laplacian when Φ is a sup-multiplicative-like function
Date
2004-05-06
Authors
Karakostas, George L.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
The existence of triple positive solutions for a boundary-value problem governed by the Φ-Laplacian is investigated, when Φ is a so-called sup-multiplicative-like function (in a sense introduced in [22]) and the boundary conditions include nonlinear expressions at the end points (as in [21, 28]). The Leggett-Williams fixed point theorem in a cone is used. The results improve and generalize known results given in [21].
Description
Keywords
Boundary value problems, Positive solutions, Φ-Laplacian, Leggett-Williams fixed point theorem
Citation
Karakostas, G. L. (2004). Triple positive solutions for the Φ-Laplacian when Φ is a sup-multiplicative-like function. <i>Electronic Journal of Differential Equations, 2004</i>(69), pp. 1-13.
Rights
Attribution 4.0 International