Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
zbMATH Open document ID: 1013.49001
author: Salvatore A. Marano
author: Dumitru Motreanu
published in: Journal of Differential Equations
publication date: 2002-09-08T00:00:00Z
review text: The authors study the critical points for a family of functionals in a Banach space, which are possibly nonsmooth and depend also on a positive real parameter. Under an appropriate set of assumptions the existence of a sequence of critical points is shown. The paper adopts some techniques due to [\textit{B. Ricceri}, J. Comput. Appl. Math. 113, No. 1-2, 401-410 (2000; Zbl 0946.49001)]. Finally, two applications to the Neumann problem for an elliptic variational-hemivariational inequality with \(p\)-Laplacian are indicated.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35J85
zbMATH DE Number: 1797555
zbMATH Keywords: critical points
zbMATH Keywords: variational-hemivariational inequality
zbMATH Keywords: Neumann problem
reviewed by: Leszek Gasiński
MaRDI profile type: Publication
full work available at URL: jdeq.2001.4092
OpenAlex ID: W2059052914
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DOI: 10.1006/JDEQ.2001.4092
description: scientific article; zbMATH DE number 1797555