Tykhonov Well-posedness of Elliptic Variational-Hemivariational Inequalities

zbMath1415.49009arXiv1912.11340MaRDI QIDQ5376888

Mircea Sofonea, Yi-bin Xiao

Publication date: 21 May 2019

Full work available at URL: https://arxiv.org/abs/1912.11340

zbMATH Keywords

frictioncontact problemvariational-hemivariational inequalityapproximating sequenceunilateral constraintTykhonov well-posedness

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Methods involving semicontinuity and convergence; relaxation (49J45) Unilateral problems for nonlinear PDEs of mixed type and variational inequalities with nonlinear partial differential operators of mixed type (35M86)

Related Items (18)

Generalized well-posedness results for a class of new mixed variational inequalities ⋮ Iterative regularization methods for solving equilibrium problems ⋮ Tykhonov well-posedness of a viscoplastic contact problem ⋮ Tykhonov well-posedness of a heat transfer problem with unilateral constraints. ⋮ Local convergence of inexact Newton-like method under weak Lipschitz conditions ⋮ Convergence results for elliptic variational-hemivariational inequalities ⋮ Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications ⋮ On the Tykhonov well-posedness of an antiplane shear problem ⋮ Unnamed Item ⋮ Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear ⋮ Tykhonov well-posedness of a frictionless unilateral contact problem ⋮ On the well-posedness concept in the sense of Tykhonov ⋮ Optimization problems for a viscoelastic frictional contact problem with unilateral constraints ⋮ Stability analysis of partial differential variational inequalities in Banach spaces ⋮ Generalized well-posedness results for a class of hemivariational inequalities ⋮ Tykhonov triples and convergence results for hemivariational inequalities ⋮ A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities ⋮ Optimal control for a class of mixed variational problems

Cites Work

• Variational inequalities and frictional contact problems
• Well-posed optimization problems
• Convexity and well-posed problems
• Optimal control of elliptic variational-hemivariational inequalities
• Optimization problems for elastic contact models with unilateral constraints
• A class of variational-hemivariational inequalities in reflexive Banach spaces
• Boundary optimal control of a nonsmooth frictionless contact problem
• Mathematical Models in Contact Mechanics
• Some properties of “well–posed” variational. inequalities governed by linear operators
• Optimization and nonsmooth analysis
• A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities^(∗)
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