Translations of Mathematical Monographs 1989; 239 pp; hardcover Volume: 77 ISBN10: 0821845292 ISBN13: 9780821845295 List Price: US$107 Member Price: US$85.60 Order Code: MMONO/77
 This book develops a variational method for solving linear equations with \(B\)symmetric and \(B\)positive operators and generalizes the method to nonlinear equations with nonpotential operators. The author carries out a constructive extension of the variational method to "nonvariational" equations (including parabolic equations) in classes of functionals which differ from the EulerLagrange functionals. In this connection, some new functions spaces are considered. Intended for mathematicians working in the areas of functional analysis and differential equations, this book would also prove useful for researchers in other areas and students in advanced courses who use variational methods in solving linear and nonlinear boundary value problems in continuum mechanics and theoretical physics. Table of Contents  Variational problems for linear equations with \(B\)symmetric and \(B\)positive operators
 Classes of functionals and function spaces
 Construction and investigation of variational principles for linear boundary value problems
 Variational principles for nonlinear equations
