1.1 Elements of Nonlinear Functional Analysis................... 1 1.2 Subdifferentials.........................
......... 16 1.3 Monotone Operators............................... 19 1.4 Maximal Monotone …

Moving interfaces between media play an important role in technological and natural
processes. The development of methods for solving problems with moving interfaces is one …

In this paper a stationary action principle is proved to hold for capillary fluids, ie fluids for
which the deformation energy has the form suggested, starting from molecular arguments …

We propose to solve a general quasi-variational inequality by using its Karush–Kuhn–
Tucker conditions. To this end we use a globally convergent algorithm based on a potential …

The foundation and a systematic study of variational inequalities date back to the 1960s of
the last century and began with the work of Fichera [113] and Stampacchia [225, 226], which …

In this paper, strongly pseudomonotone quasi-variational inequalities are investigated. We
provide sufficient conditions for existence and uniqueness of solutions of strongly …

During a very large part of his career the author of this book has been interested in the
application of variational methods to problems from science and engineering, particularly …

1. The principal subject of this book is to discuss how to use theory and algorithms of
optimization for treating problems in applied mechanics in a comprehensive way. Particular …

A major drawback of the study of cracks within the context of the linearized theory of
elasticity is the inconsistency that one obtains with regard to the strain at a crack tip, namely …

This paper gives new existence results for elliptic and evolutionary variational and quasi-
variational inequalities. Specifically, we give an existence theorem for evolutionary …