Concepedia

Well-posed hemivariational inequalities

Numerical Functional Analysis and Optimization · 1995 · 61 citations · 13 references

Concepts

EngineeringMathematicsApplied MechanicsComputational MechanicsBoundary ConditionsInequalityVariational FormulationVariational InequalitiesWeak FormulationNonlinear Variational MechanicsNonlinear Variational ProblemsVariational Inequalities In MechanicsVariational Inequality Existence TheoremsVariational Inequality ProblemsVariational Inequality Theory

Abstract

This paper aims to present some basic results concerning the well-posedness in hemi-variational inequalities, that is a variational formulation introduced by P.D. Panagiotopoulos in order to describe the behavior of several complex structures in mechanics.

References

13

Lecture Notes in Mathematics

Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.2K citations

Natural Sciences, Mathematics, Mathematics Education +4

Nonconvex energy functions. Hemivariational inequalities and substationarity principles

P. D. Panagiotopoulos · Acta Mechanica · 1983 · 241 citations

Natural Sciences, Electrical Engineering, Optimization +8

Non-convex superpotentials in the sense of F.H. Clarke and applications

P. D. Panagiotopoulos · Mechanics Research Communications · 1981 · 169 citations

Natural Sciences, Physics, Theoretical Physics +1

A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities<sup>(∗)</sup>

Roberto Lucchetti, Fioravante Patrone · Numerical Functional Analysis and Optimization · 1981 · 136 citations

Natural Sciences, Mathematics, Cost-minimization Analysis +12

Coercive and semicoercive hemivariational inequalities

P. D. Panagiotopoulos · Nonlinear Analysis · 1991 · 133 citations

Social Sciences, Sociology, Social Inequality +1