×

zbMATH — the first resource for mathematics

On the existence of solutions for nonlinear and non-homogeneous shallow shells. (English) Zbl 0827.73043
Summary: This paper deals with existence of solutions of nonlinear equations which govern the state of bending stresses and deflections in shallow inhomogeneous shells subjected to external load and temperature variation. The shell is clamped along the entire edge. This problem is studied by the use of functional analysis methods on appropriate Hilbert spaces.
MSC:
74K15 Membranes
35Q72 Other PDE from mechanics (MSC2000)
80A20 Heat and mass transfer, heat flow (MSC2010)
PDF BibTeX XML Cite