Abstract
We consider nonlinear elliptic equations driven by the p-Laplacian with a nonsmooth potential (hemivariational inequalities). We obtain the existence of multiple nontrivial solutions and we determine their sign (one positive, one negative and the third nodal). Our approach uses nonsmooth critical point theory coupled with the method of upper-lower solutions.
| Original language | English (Ireland) |
|---|---|
| Number of pages | 14 |
| Journal | Differential Equations, Chaos And Variational Problems |
| Volume | 75 |
| Publication status | Published - 1 Aug 2008 |
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, RP,Filippakis, ME,O'Regan, D,Papageorgiou, NS,Staicu V