Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Nonlinear Differential Problems with Smooth and Nonsmooth Constraints by Dumitru Motreanu, Elsevier Science
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Author: Dumitru Motreanu ISBN: 9780128133934
Publisher: Elsevier Science Publication: February 5, 2018
Imprint: Academic Press Language: English
Author: Dumitru Motreanu
ISBN: 9780128133934
Publisher: Elsevier Science
Publication: February 5, 2018
Imprint: Academic Press
Language: English

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references.

  • Builds from functional analysis and operator theory, to nonlinear elliptic systems and control problems
  • Outlines the evolution of the main ideas of nonlinear analysis and their roots in classical mathematics
  • Presented with numerous end-of-chapter exercises and sophisticated open problems
  • Illustrated with pertinent industrial and engineering numerical examples and applications
  • Accompanied by hundreds of curated references, saving readers hours of research in conducting literature analysis
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Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references.

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