The Existence of Multiple Solutions for Boundary Value Problem with One Dimensional p-Laplacian
| Jul 04, 2013
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications ‘2012
About this article
Published Online: Jul 04, 2013
Page range: 153 - 163
DOI: https://doi.org/10.2478/tmmp-2013-00012
This content is open access.
The boundary value problem for a differential equation with one dimensional p-Laplacian is studied. The technique of lower and upper solutions is used. The existence of a solution for well ordered and unordered case as well as the existence of multiple solutions are proved. The growth condition is assumed only on a part of the nonlinearity.