In this paper we study a quasilinear boundary value problem of Neumann type with discontinuous terms. In particular we consider a problem in which the p-Laplacian is involved. In order to prove the existence of solutions we replace this problem with a multivalued approximation of it and, using a variational approach for locally Lipschitz functionals, we prove two existence results for it.
A quasilinear Neumann problem with discontinuous nonlinearirty / Papalini, Francesca. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 250:(2003), pp. 82-97. [10.1002/mana.200310023]
A quasilinear Neumann problem with discontinuous nonlinearirty
PAPALINI, Francesca
2003-01-01
Abstract
In this paper we study a quasilinear boundary value problem of Neumann type with discontinuous terms. In particular we consider a problem in which the p-Laplacian is involved. In order to prove the existence of solutions we replace this problem with a multivalued approximation of it and, using a variational approach for locally Lipschitz functionals, we prove two existence results for it.File in questo prodotto:
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