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Set-Valued and Variational Analysis

, Volume 19, Issue 2, pp 311–327 | Cite as

Three Solutions for a Partial Differential Inclusion Via Nonsmooth Critical Point Theory

  • Antonio IannizzottoEmail author
Article

Abstract

The existence of three solutions for a partial differential inclusion involving a perturbed nonlinearity and two real parameters is proved. Moreover, an estimate of the norms of solutions, independent of both the parameters and the perturbation, is achieved. The main theoretical tool is an extension to nonsmooth functionals of a very recent three critical points theorem of Ricceri.

Keywords

Partial differential inclusions Nonsmooth critical point theory 

Mathematics Subject Classifications (2010)

34A60 49J52 58E05 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica e InformaticaUniversità degli Studi di CataniaCataniaItaly

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