Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
作者： Mariano Giaquinta , Giuseppe Modica , Jiří souček
DOI: 10.1007/BF00251429
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摘要: In this paper we introduce some new classes of functions, among these a class weak diffeomorphisms. prove by direct methods the existence minimizers for several kinds variational integrals. particular, one-to-one orientation-preserving maps that minimize suitable energies associated with hyperelastic materials. The are also proved to satisfy equilibrium equations. Finally radial deformations discussed in connection cavitation.
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