| Abstract: |
| In this talk, we present some existence and multiplicity results for nonlinear elliptic equations involving the p-Laplacian operator and which are defined in the whole space. As a special case, the existence of two non-zero solutions, one with negative energy and other with positive one, for equations having combined effects of concave and convex nonlinearities is obtained. The approach is based on variational methods and critical point theory. This is a joint work with G. Bonanno and K. Perera. |
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