“The book is a reliable reference for the main issues on these topics and gives a clear collection of recent results and applications in this important field of research. Moreover, the authors achieve a perfect balance between the possible needs of a Ph. D. student and those of an experienced researcher.” (Pasquale Candito, Mathematical Reviews, November, 2022)
“The text is clearly written and systematic. The proofs are complete and the applications are consistent. The book is useful for researchers, and parts of it can be recommended as additional reading for postgraduate students.” (Petru Jebelean, zbMATH 1490.49001, 2022)
Variational and Monotonicity Methods in Nonsmooth Analysis
von Nicuşor Costea, Alexandru Kristály und Csaba VargaThis book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, mathematical physics and contact mechanics. It includes recent achievements and puts them into the context of the existing literature.
The volume is organized in four parts. Part I contains fundamental mathematical results concerning convex and locally Lipschits functions. Together with the Appendices, this foundational part establishes the self-contained character of the text. As the title suggests, in the following sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors employ these methods to handle the exemplary problems from game theory and engineering that are investigated in Part II, respectively Part III. Part IV is devoted to applications in contact mechanics.
The book will be of interest to PhD students and researchers in applied mathematics as well as specialists working in nonsmooth analysis and engineering.
