Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

Helps researchers understand and solve nonlinear problems using an array of sophisticated tools derived from functional, nonlinear and nonsmooth mathematical analysis

Dumitru Motreanu (Author)

9780128133866, Elsevier Science

Paperback, published 12 February 2018

362 pages
22.9 x 15.1 x 2.3 cm, 0.45 kg

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

Subject Areas: Real analysis, real variables [PBKB], Calculus & mathematical analysis [PBK]