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.
Three solutions for a partial differential inclusion via nonsmooth critical point theory
IANNIZZOTTO, ANTONIO
2011-01-01
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.
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