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Divergent Type Quasilinear Dirichlet Problem with Singularities |
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| Authors: | S Pilipovi? D Scarpalezos |
| Institution: | (1) Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Serbia;(2) U.F.R. Mathematics, Case 7012, Universite Paris 7, 2 place Jussieu, Paris, 75005, France |
| Abstract: | A quasilinear equation of divergent type with singular data and singular coefficients is approximated by a net of equations of the same type with enough regular coefficients and data. Solutions of the net of equations are obtained by the classical methods. Known a priory estimates are improved so that a net of solutions can be considered as a solution in an appropriate algebra of generalized functions. |
| Keywords: | algebra of generalized functions quasilinear Dirichlet problem |
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