Nonlinear Analysis - Theory and Methods

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Physics, Mathematical Physics
Cover of the book Nonlinear Analysis - Theory and Methods by Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš, Springer International Publishing
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Author: Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš ISBN: 9783030034306
Publisher: Springer International Publishing Publication: April 15, 2019
Imprint: Springer Language: English
Author: Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
ISBN: 9783030034306
Publisher: Springer International Publishing
Publication: April 15, 2019
Imprint: Springer
Language: English

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.

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This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.

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