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Nonconvex Problems of Semipermeable Media and Related Topics
Author(s) -
Panagiotopoulos P. D.
Publication year - 1985
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19850650116
Subject(s) - constructive , mathematics , elasticity (physics) , boundary value problem , constructive proof , mathematical economics , calculus (dental) , mathematical analysis , computer science , physics , combinatorics , thermodynamics , medicine , dentistry , process (computing) , operating system
The present paper deals with B V Ps in the theory of semipermeability potentials. Both the cases of interior and boundary semipermeability problems are studied. After the formulation of the problems in terms of hemivariational inequalities and the definition of the regularised problems an existence result is proved. The proof is constructive and may be used for the approximation of the solution of the problem. Finally, the developed method is applied to certain similar problems arising in the theory of elasticity.