Nonlinear Theory of Shallow Shells

This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

For the last 30 years Vorovich has been one of the leading figures in the mathematical analysis of nonlinear problems for shells. He pioneered the introduction into shell theory of many of the tools of nonlinear analysis such as bifurcation theory. A considerable part of his work has never been translated into western language. Thus there would be very little overlap with books on the market. None of the engineering books on the market treats the questions he does.