Books by Mircea (University of Perpignan Sofonea

The monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors' results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics.

Beginning with an introduction to modeling and functional and numerical analysis, this title deals with the chapters to models involving adhesion and material damage, exploring a particular model. For various models, it provides a variational formulation and establishes the existence and uniqueness of a weak solution.