In this paper the existence of one positive weak solution for Dirichlet problems with a critical growth of the nonlinearity is established. To this end, it is previously proved that the associated energy functional satisfies a suitable type of Palais Smale condition in order to apply a very recent local minimum theorem. © Dynamic Publishers, Inc.
Critical nonlinearities for elliptic dirichlet problems
BONANNO, Gabriele;D'AGUI', GIUSEPPINA
2013-01-01
Abstract
In this paper the existence of one positive weak solution for Dirichlet problems with a critical growth of the nonlinearity is established. To this end, it is previously proved that the associated energy functional satisfies a suitable type of Palais Smale condition in order to apply a very recent local minimum theorem. © Dynamic Publishers, Inc.File in questo prodotto:
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