Abstract
We study the existence of nonnegative solutions for nonlinear Dirich-let boundary value problems driven by the ordinary scalar p-Laplacian and with a nonsmooth potential. Our approach involves using the method of upper and lower solutions with nonsmooth critical point theory for locally Lipschitz functions. Our analysis covers the so-called sublinear and superlinear cases.
| Original language | English (Ireland) |
|---|---|
| Number of pages | 25 |
| Journal | Journal Of Nonlinear And Convex Analysis |
| Volume | 6 |
| Publication status | Published - 1 May 2005 |
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, RP,Filippakis, M,O'Regan, D,Papageorgiou, NS