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Nonlinear Mappings of Monotone Type

D. Pascall

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Description:The progress in nonlinear functional analysis has allowed the study of many nonlinear problems in mathematical physics. This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space. These mappings extend the properties of compact operators to the infinite-dimensional case. Generalizations of monotone operators are termed mappings of monotone type. Among these, in the last decade, the pseudo-monotone operators and the mappings of type (M) have provided a more proper tool for solving large classes of nonlinear differential and integral equations. The text dwells upon essentially four interrelated topics: Nonlinear mappings of mono tone type, Hammerstein equations, Odd operators and Variational problems. To make the approach easier, we have compiled some basic results on the topological degree and on the Sobolev spaces. In the applications we restrict our discussion to the existence of solutions for nonlinear elliptic equations. The present English editIOn was written starting from the Romanian book "Operatori neliniari" (Nonlinear Mappings) by the first author and his lectures delivered at the Universities of Bucharest and Rome. The improved final form of this book is the result of the joint work of the authors.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlinear Mappings of Monotone Type. To get started finding Nonlinear Mappings of Monotone Type, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 358

Format: PDF, EPUB & Kindle Edition

Publisher: Springer

Release: 1978

ISBN: oA6oAAAAIAAJ

Description: The progress in nonlinear functional analysis has allowed the study of many nonlinear problems in mathematical physics. This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space. These mappings extend the properties of compact operators to the infinite-dimensional case. Generalizations of monotone operators are termed mappings of monotone type. Among these, in the last decade, the pseudo-monotone operators and the mappings of type (M) have provided a more proper tool for solving large classes of nonlinear differential and integral equations. The text dwells upon essentially four interrelated topics: Nonlinear mappings of mono tone type, Hammerstein equations, Odd operators and Variational problems. To make the approach easier, we have compiled some basic results on the topological degree and on the Sobolev spaces. In the applications we restrict our discussion to the existence of solutions for nonlinear elliptic equations. The present English editIOn was written starting from the Romanian book "Operatori neliniari" (Nonlinear Mappings) by the first author and his lectures delivered at the Universities of Bucharest and Rome. The improved final form of this book is the result of the joint work of the authors.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlinear Mappings of Monotone Type. To get started finding Nonlinear Mappings of Monotone Type, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Nonlinear Mappings of Monotone Type

Nonlinear Mappings of Monotone Type

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