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A quasilinear Neumann problem with discontinuous nonlinearity

โœ Scribed by Francesca Papalini

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
222 KB
Volume
250
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

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 pโ€“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.

๐Ÿ“œ SIMILAR VOLUMES

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The existence and uniqueness of a weak solution of a Neumann problem is discussed for a second-order quasilinear elliptic equation in a divergence form. The note is a continuation of a recent paper, where mixed boundary value problems were considered, which guaranteed the coerciveness of the problem

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## Abstract For holomorphic functions in the unit disc, we consider a general nonlinear boundary condition whose linearisation admits jump discontinuities at a finite number of points on the unit circle, the boundary of the unit disc. By using the properties of quasilinear Fredholm maps of the corr