Geometrical Methods of Nonlinear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometrical Methods of Nonlinear Analysis write by Mark Aleksandrovich Krasnoselʹskiĭ. This book was released on 1984. Geometrical Methods of Nonlinear Analysis available in PDF, EPUB and Kindle. Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in existence proofs. Since about the fifties, these methods turned out to be essentially the sole approach to a variety of new problems: the investigation of iteration processes and other procedures in numerical analysis, in bifur cation problems and branching of solutions, estimates on the number of solutions and criteria for the existence of nonzero solutions, the analysis of the structure of the solution set, etc. These methods have been widely applied to the theory of forced vibrations and auto-oscillations, to various problems in the theory of elasticity and fluid. mechanics, to control theory, theoretical physics, and various parts of mathematics. At present, nonlinear analysis along with its geometrical, topological, analytical, variational, and other methods is developing tremendously thanks to research work in many countries. Totally new ideas have been advanced, difficult problems have been solved, and new applications have been indicated. To enumerate the publications of the last few years one would need dozens of pages. On the other hand, many problems of non linear analysis are still far from a solution (problems arising from the internal development of mathematics and, in particular, problems arising in the process of interpreting new problems in the natural sciences). We hope that the English edition of our book will contribute to the further propagation of the ideas of nonlinear analysis.
Geometrical Methods of Nonlinear Analysis
Geometrical Methods of Nonlinear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometrical Methods of Nonlinear Analysis write by Mark Aleksandrovich Krasnoselskii. This book was released on 1984. Geometrical Methods of Nonlinear Analysis available in PDF, EPUB and Kindle.
Convex Analysis and Nonlinear Geometric Elliptic Equations
Convex Analysis and Nonlinear Geometric Elliptic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Convex Analysis and Nonlinear Geometric Elliptic Equations write by Ilya J. Bakelman. This book was released on 2012-12-06. Convex Analysis and Nonlinear Geometric Elliptic Equations available in PDF, EPUB and Kindle. Investigations in modem nonlinear analysis rely on ideas, methods and prob lems from various fields of mathematics, mechanics, physics and other applied sciences. In the second half of the twentieth century many prominent, ex emplary problems in nonlinear analysis were subject to intensive study and examination. The united ideas and methods of differential geometry, topology, differential equations and functional analysis as well as other areas of research in mathematics were successfully applied towards the complete solution of com plex problems in nonlinear analysis. It is not possible to encompass in the scope of one book all concepts, ideas, methods and results related to nonlinear analysis. Therefore, we shall restrict ourselves in this monograph to nonlinear elliptic boundary value problems as well as global geometric problems. In order that we may examine these prob lems, we are provided with a fundamental vehicle: The theory of convex bodies and hypersurfaces. In this book we systematically present a series of centrally significant results obtained in the second half of the twentieth century up to the present time. Particular attention is given to profound interconnections between various divisions in nonlinear analysis. The theory of convex functions and bodies plays a crucial role because the ellipticity of differential equations is closely connected with the local and global convexity properties of their solutions. Therefore it is necessary to have a sufficiently large amount of material devoted to the theory of convex bodies and functions and their connections with partial differential equations.
Geometric Function Theory and Non-linear Analysis
Geometric Function Theory and Non-linear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Function Theory and Non-linear Analysis write by Tadeusz Iwaniec. This book was released on 2001. Geometric Function Theory and Non-linear Analysis available in PDF, EPUB and Kindle. Iwaniec (math, Syracuse U.) and Martin (math, U. of Auckland) explain recent developments in the geometry of mappings, related to functions or deformations between subsets of the Euclidean n-space Rn and more generally between manifolds or other geometric objects. Material on mappings intersects with aspects of differential geometry, topology, partial differential equations, harmonic analysis, and the calculus of variations. Chapters cover topics such as conformal mappings, stability of the Mobius group, Sobolev theory and function spaces, the Liouville theorem, even dimensions, Picard and Montel theorems in space, uniformly quasiregular mappings, and quasiconformal groups. c. Book News Inc.
Topics in Nonlinear Analysis & Applications
Topics in Nonlinear Analysis & Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Nonlinear Analysis & Applications write by Donald H. Hyers. This book was released on 1997. Topics in Nonlinear Analysis & Applications available in PDF, EPUB and Kindle. This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.
