A unified approach was developed to investigate the existence of at least one smooth nontrivial solution for p-Laplacian differential inclusions with upper/lower semicontinuos set-valued righthand side and depending on a pos- itive parameter. The main idea was to find a solution of the given inclusion as a solution of an auxiliary differential inclusion associated with the generalized gradient (in Clarke’s sense) of a primitive of a selection of the multivalued non- linearity. Since we also dealt with discontinuous selections, variational methods for locally Lipschitz functionals provided the right tools to achieve our goals. 1. Introduction. This paper deals with the existence of at least one nontrivial
A UNIFIED APPROACH FOR p-LAPLACIAN DIFFERENTIAL INCLUSIONS DEPENDING ON A PARAMETER
Bonanno G.
;Cianciaruso F.;Pietramala P.
In corso di stampa
Abstract
A unified approach was developed to investigate the existence of at least one smooth nontrivial solution for p-Laplacian differential inclusions with upper/lower semicontinuos set-valued righthand side and depending on a pos- itive parameter. The main idea was to find a solution of the given inclusion as a solution of an auxiliary differential inclusion associated with the generalized gradient (in Clarke’s sense) of a primitive of a selection of the multivalued non- linearity. Since we also dealt with discontinuous selections, variational methods for locally Lipschitz functionals provided the right tools to achieve our goals. 1. Introduction. This paper deals with the existence of at least one nontrivialI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
