Existence for a degenerate diffusion problem with a nonlinear operator |
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| Authors: | Angelo Favini Gabriela Marinoschi |
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| Affiliation: | (1) Department of Mathematics, Università degli Studi di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy;(2) Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania |
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| Abstract: | We study a degenerate nonlinear variational inequality which can be reduced to a multivalued inclusion by an appropriate change of the unknown function. We establish existence, uniqueness and regularity results. An application arising in the theory of water diffusion in porous media is discussed as an example. |
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| Keywords: | Primary 35K55, 35K65, 47H06 Secondary 76S05 |
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