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Nonconvex problems of semipermeable media and related topics. (English) Zbl 0574.73015

Boundary value problems in the theory of semipermeability potentials are studied. Both interior and boundary semipermeability problems are treated. An existence theorem is established through reformulation of the problems in terms of hemivariational inequalities and a careful definition of the required regularity conditions. The proof is constructive. It is therefore directly applicable to obtaining useful approximate solutions. Explicit applications are given to corresponding problems in the theory of elasticity.
Reviewer: D.G.B.Edelen

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
49J40 Variational inequalities
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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