On solvability of geometric nonlinear problems of the theory of thin shells
To study the title problem, we use an application of implicit function theorem. This approach enables us to study wide classes of non-shallow shells in a uniform way. We consider both the earlier studied models and the new complicated versions of geometric nonlinear models of shells. The resolvability of these nonlinear problems for sufficiently small external loads is ensured by coercivity inequalities for the operator of linear theory of shells.
scientific article; zbMATH DE number 857523