Nonlinear Differential Problems with Smooth and Nonsmooth Constraints Mathematical Analysis and its Applications Series
Auteur : Motreanu Dumitru
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.
1. Prerequisites of functional analysis and operator theory2. Prerequisites of regularity theory and maximum principle3. Nonlinear elliptic eigenvalue problems4. Nonlinear elliptic equations with general dependence on the solution gradient5. Constant sign and sign-changing solutions for quasilinear elliptic problems6. Nonlinear elliptic systems7. Singular quasilinear elliptic systems8. Evolutionary variational and quasivariational inequalities9. Control problems for evolutionary differential inclusions
Primarily early career researchers at PhD level in functional, nonlinear and non-smooth analysis with experience in functional analysis and general topology. Some researchers studying relatable mathematical problems in mechanics, physics, engineering and biology
- 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
Date de parution : 02-2018
Ouvrage de 362 p.
15x22.8 cm
Thème de Nonlinear Differential Problems with Smooth and... :
Mots-clés :
< p> Sobolev spaces; pseudomonotone operator; p-Laplacian; nonlinear elliptic equations and systems; weak solution; regularity; maximum principle; eigenvalue problem; critical point; subsolution and supersolution; singular elliptic system; variational; quasivariational and hemivariational inequalities; differential inclusion; evolutionary equations and inclusions; control system< /p>