Title: An introduction to minimax theorems and their applications to differential equations
First published: 2001
Description: The book is intended to be an introduction to critical point theory and its applications to differential equations. Although the related material can be found in other books, the authors of this volume have had the following goals in mind: To present a survey of existing minimax theorems, To give applications to elliptic differential equations in bounded domains, To consider the dual variational method for problems with continuous and discontinuous nonlinearities, To present some elements of critical point theory for locally Lipschitz functionals and give applications to fourth-order differential equations with discontinuous nonlinearities, To study homoclinic solutions of differential equations via the variational methods. The contents of the book consist of seven chapters, each one divided into several sections. Audience: Graduate and post-graduate students as well as specialists in the fields of differential equations, variational methods and optimization.
Subjects: Differential equations, Numerical solutions, Critical point theory (Mathematical analysis), Mathematical Analysis, Functional Analysis, Numerical Solutions Of Differential Equations, Mathematics, Science/Mathematics, General, Mathematics / Differential Equations, Linear Programming, Critical point theory, Differential equations, numerical solutions, Partial Differential equations, Functional equations, Differential equations, partial, Mathematical optimization, Difference and Functional Equations, Applications of Mathematics, Calculus of Variations and Optimal Control; Optimization
LC classification: QA372 .G78 2001