## Download e-book for kindle: Convex Analysis and Nonlinear Geometric Elliptic Equations by Ilya J. Bakelman

By Ilya J. Bakelman

ISBN-10: 3642698816

ISBN-13: 9783642698811

ISBN-10: 3642698832

ISBN-13: 9783642698835

Investigations in modem nonlinear research depend on principles, tools and prob lems from a variety of fields of arithmetic, mechanics, physics and different technologies. within the moment 1/2 the 20th century many popular, ex emplary difficulties in nonlinear research have been topic to extensive research and exam. The united rules and techniques of differential geometry, topology, differential equations and practical research in addition to different parts of study in arithmetic have been effectively utilized in the direction of the entire resolution of com plex difficulties in nonlinear research. it's not attainable to surround within the scope of 1 booklet all suggestions, rules, tools and effects concerning nonlinear research. for that reason, we will limit ourselves during this monograph to nonlinear elliptic boundary price difficulties in addition to worldwide geometric difficulties. so that we may well study those prob lems, we're supplied with a primary car: the speculation of convex our bodies and hypersurfaces. during this booklet we systematically current a chain of centrally major effects got within the moment half the 20 th century as much as the current time. specific consciousness is given to profound interconnections among a variety of divisions in nonlinear research. the idea of convex services and our bodies performs a vital position as the ellipticity of differential equations is heavily attached with the neighborhood and international convexity homes in their ideas. hence it's important to have a sufficiently great amount of fabric dedicated to the speculation of convex our bodies and services and their connections with partial differential equations.