Siegfried Carl received his PhD in Mathematics from the University of Halle, where he has been a Professor of Mathematics at the Institute of Mathematics since 1995. He has published more than 150 research articles and three research monographs. He has served as an Associate Editor of various mathematical journals and acted as an Editor-in-Chief of the journal Nonlinear Analysis.Vy Khoi Le received his PhD in Mathematics from the University of Utah, and has been a Professor of Mathematics at the Department of Mathematics and Statistics, Missouri University of Science and Technology since 2006. He is the author or co-author of more than 100 research articles and three research monographs. He has served as an Associate Editor of various international journals of mathematics.

“The authors focus on a large class of multivalued variational differential inequalities and inclusions of nonpotential type, providing a systematic, unified, and self-contained exposition of existence and comparison principles of the multivalued variational inequalities and inclusions.” (‪Leszek Gasiński, Mathematical Reviews, June, 2022)

• - Introduction. - Mathematical Preliminaries. - Multi-Valued Variational Equations. - Multi-Valued Elliptic Variational Inequalities on Convex Sets. - Multi-Valued Parabolic Variational Inequalities on Convex Sets. - Multi-Valued Variational Inequalities in Unbounded Domains. - Multi-Valued Variational Inequalities with Convex Functionals.

Siegfried Carl received his PhD in Mathematics from the University of Halle, where he has been a Professor of Mathematics at the Institute of Mathematics since 1995. He has published more than 150 research articles and three research monographs. He has served as an Associate Editor of various mathematical journals and acted as an Editor-in-Chief of the journal Nonlinear Analysis.Vy Khoi Le received his PhD in Mathematics from the University of Utah, and has been a Professor of Mathematics at the Department of Mathematics and Statistics, Missouri University of Science and Technology since 2006. He is the author or co-author of more than 100 research articles and three research monographs. He has served as an Associate Editor of various international journals of mathematics.

“The authors focus on a large class of multivalued variational differential inequalities and inclusions of nonpotential type, providing a systematic, unified, and self-contained exposition of existence and comparison principles of the multivalued variational inequalities and inclusions.” (‪Leszek Gasiński, Mathematical Reviews, June, 2022)

• - Introduction. - Mathematical Preliminaries. - Multi-Valued Variational Equations. - Multi-Valued Elliptic Variational Inequalities on Convex Sets. - Multi-Valued Parabolic Variational Inequalities on Convex Sets. - Multi-Valued Variational Inequalities in Unbounded Domains. - Multi-Valued Variational Inequalities with Convex Functionals.

Siegfried Carl received his PhD in Mathematics from the University of Halle, where he has been a Professor of Mathematics at the Institute of Mathematics since 1995. He has published more than 150 research articles and three research monographs. He has served as an Associate Editor of various mathematical journals and acted as an Editor-in-Chief of the journal Nonlinear Analysis.Vy Khoi Le received his PhD in Mathematics from the University of Utah, and has been a Professor of Mathematics at the Department of Mathematics and Statistics, Missouri University of Science and Technology since 2006. He is the author or co-author of more than 100 research articles and three research monographs. He has served as an Associate Editor of various international journals of mathematics.

“The authors focus on a large class of multivalued variational differential inequalities and inclusions of nonpotential type, providing a systematic, unified, and self-contained exposition of existence and comparison principles of the multivalued variational inequalities and inclusions.” (‪Leszek Gasiński, Mathematical Reviews, June, 2022)

• - Introduction. - Mathematical Preliminaries. - Multi-Valued Variational Equations. - Multi-Valued Elliptic Variational Inequalities on Convex Sets. - Multi-Valued Parabolic Variational Inequalities on Convex Sets. - Multi-Valued Variational Inequalities in Unbounded Domains. - Multi-Valued Variational Inequalities with Convex Functionals.