Nonlinear Analysis Theory and Applications : Proceedings of the Seventh International Summer School held at Berlin, GDR from August 27 to September 1, 1979

Frontmatter -- Preface -- Contents -- Invited Lectures -- Saddle points and nonlinear differential equations -- On optimal control problems described by operator equations in Banach and Hilbert spaces -- Regularity results for some elliptic variational inequalities with bounded measurable coefficien...
Ausführliche Beschreibung

Frontmatter -- Preface -- Contents -- Invited Lectures -- Saddle points and nonlinear differential equations -- On optimal control problems described by operator equations in Banach and Hilbert spaces -- Regularity results for some elliptic variational inequalities with bounded measurable coefficients and applications -- Nonlinear equality constraints in optimization problems with set restrictions -- On the speed of c0-sequences in connection with a lemma of Toeplitz -- On some optimal control problems for elliptic systems in the plane -- On an initial-boundary value problem for the nonlinear Schrödinger equation with selfconsistent potential -- On initial value problems in thermodynamics -- Common properties of nonlinear programming algorithms basing on sequential unconstrained minimizations -- The finite-difference method for a mildly nonlinear elliptic problem -- Finite element analysis of the unilateral contact between elastic bodies -- An inverse problem for "coefficients" in linear equations. Uniqueness and iterative solution -- Nonlinear operators and solvability of operator equations -- On convergence properties of families of maximal monotone operators -- On perturbation of branching problems and secondary branching in the theory of plates -- On a program for the computation of matter transport in river networks -- Existence and regularity theorems for weak solutions to the equations of motion of visco-plastic media -- A necessary and sufficient condition for the regularity of weak solutions to nonlinear elliptic systems of partial differential equations -- Problems in connection with the Hahn-Banach Theorem -- Parabolic problems with free boundaries: Existence and properties of solutions; optimal control problems -- Optimization methods for non-linear partial differential equations -- Design sensitivity analysis in structural mechanics -- On optimal control problems in civil-engineering and technology -- Das asymptotische Verhalten von Toeplitzdeterminanten für einige Klassen von Erzeugerfunktionen -- Optimization and best approximation -- Control in coefficients for PDE -- Towards a general-purpose difference scheme for the linear one-dimensional parabolic equation -- Two-component flow round a solid sphere -- To the mathematical treatment of a technical heat control problem -- Communications -- On the radius of a set in a Hilbert space -- On the variational method without coerciveness -- Special control problems and monotone operators -- A generalization of an optimality theorem -- Mixed variational formulation of unilateral problems -- Sufficient conditions for optimality of a control problem with discrete time -- A controllability problem of nonlinear dynamical systems -- On the convergence of the finite elements method for some initial problem -- On the normality of Lagrange multiplier rules for optimal control problems -- Some methods of solving optimal control problems for free boundary processes -- Ein Approximations-Iterationsverfahren für nichtlineare Volterrasche Integralgleichungen zweiter Art -- Secondary axisymmetric buckled states of thin elastic spherical shells -- Perturbation and branching of the solutions of nonlinear eigenvalue problems -- Zur Existenz der optimalen Steuerung bei Volterraschen Integralgleichungen -- The finite difference method for quasilinear elliptic equations with rapidly increasing coefficients -- A constructive proof of the implicit function theorem for analytic operators -- Some remarks to existence problems of optimal control for parabolic equations -- Construction of local solutions for Maxwell equations -- An abstract equation modelling diffusion in solids with bidisperse pore structure -- Bifurcation of axially compressed circular cylindrical shells with free edges -- On difference approximations of a class of it-dimensional variational inequalities -- On some Stefan like problem -- On a system of nonlinear partial differential equations arising in the theory of heat and mass transfer in a nonlinear second-order fluid Ausführliche Beschreibung