Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Motreanu, Dumitru; Panagiotopoulos, P. D.

doi:10.1007/978-1-4615-4064-9

Cited by 231 publications

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“…In terms of literature on hemivariational inequalities and systems of hemivariational inequalities, the studies on solvability (the existence and uniqueness of a solution) and well-posedness for various kinds of hemivariational inequalities are mature. Many famous results have been obtained by many distinguished researchers (refer to [17,18,20,22] for details). The concept of well-posedness for hemivariational inequalities was firstly introduced by Goeleven and Mentagui [7] in 1995 and, further, studied by Xiao, Yang and Huang in [23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems

Wang¹,

Xiao²,

Wang³

et al. 2016

J. Nonlinear Sci. Appl.

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In this paper, we generalize the concept of well-posedness to a system of hemivariational inequalities in Banach space. By introducing several concepts of well-posedness for systems of hemivariational inequalities considered, we establish some metric characterizations of well-posedness and prove some equivalence results of strong (generalized) well-posedness between a system of hemivariational inequalities and its derived system of inclusion problems.

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Section: Introductionmentioning

confidence: 99%

Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems

Wang¹,

Xiao²,

Wang³

et al. 2016

J. Nonlinear Sci. Appl.

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“…[26]) (based on pseudomonotonicity), Motreanu and Panagiotopoulos (cf. [24]), Motreanu and Rádulescu (cf. [25]) (based on compactness arguments).…”

Section: P(x)mentioning

confidence: 99%

A non-smooth three critical points theorem for general hemivariational inequality on bounded domains

Fattahi

2017

bspm

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“…is satisfied (see [39,Chapter 3] and [40]). Now, let us give the assumptions concerning our first result.…”

Section: Preliminariesmentioning

confidence: 99%

Multiplicity results to a class of variational-hemivariational inequalities

Bonanno¹,

Winkert²

2016

TMNA

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Abstract. This paper deals with variational-hemivariational inequalities involving the p-Laplace operator and a nonlinear Neumann boundary condition. Based on an abstract critical point result, which is developed at the beginning of the paper, it is shown the existence of at least three solutions to such inequalities whereby the cases p > N and p ≤ N are treated separately. The applicability of these results is emphasized with suitable examples.

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Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Cited by 231 publications

References 0 publications

Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems

Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems

A non-smooth three critical points theorem for general hemivariational inequality on bounded domains

Multiplicity results to a class of variational-hemivariational inequalities

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