Multiple solutions for a double eigenvalue hemivariational inequality on a sphere-like type manifold
type: Item
instance of: scholarly article
title: Multiple solutions for a double eigenvalue hemivariational inequality on a sphere-like type manifold
zbMATH Open document ID: 0978.49012
DOI: 10.1016/S0362-546X(98)00187-4
author: M. Bocea
author: Panagiotis D. Panagiotopoulos
author: Dumitru Motreanu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-01-13T00:00:00Z
review text: The authors study a class of double eigenvalue hemivariational inequalities with constraint on a sphere-like type manifold. Using in an essential manner the symmetry of the associated energy functional, the authors deduce the existence of infinitely many solutions. The approach is variational and it is essentially based on a variant of the celebrated Ljusternik-Schnirelman theorem. The paper offers an interesting point of view for the treatment of eigenvalue inequality problems on infinite dimensional spaces. The methods developed by the authors can be applied to wider classes of nonlinear eigenvalue problems, such as semilinear elliptic equations or variational-hemivariational inequalities.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 1513291
zbMATH Keywords: hemivariational inequality
zbMATH Keywords: critical point theory
zbMATH Keywords: multiplicity result
reviewed by: Vicenţiu D. Rădulescu
MaRDI profile type: Publication
cites work: Variational methods for non-differentiable functionals and their applications to partial differential equations
cites work: Optimization and nonsmooth analysis
cites work: Q4288388
cites work: An eigenvalue problem for a hemivariational inequality involving a nonlinear compact operator
cites work: Nonconvex energy functions, related eigenvalue hemivariational inequalities on the sphere and applications
cites work: On the eigenvalue problem for hemivariational inequalities: Existence and multiplicity of solutions
cites work: Double eigenvalue problems for hemivariational inequalities
cites work: Q4323869
cites work: Q4150621
cites work: Semicoercive hemivariational inequalities. On the delamination of composite plates
cites work: Q4846263
cites work: A variational-hemivariational inequality approach to the laminated plate theory under subdifferential boundary conditions
cites work: Q3702572
cites work: Perturbations of hemivariational inequalities with constraints and applications
Wikidata QID: Q126422813
description: scientific article; zbMATH DE number 1513291