The Existence of Multiple Solutions for Boundary Value Problem with One Dimensional p-Laplacian
| 04 lip 2013
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications ‘2012
O artykule
Data publikacji: 04 lip 2013
Zakres stron: 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.