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Existence and uniqueness theorems for singular anisotropic quasilinear elliptic boundary value problems |
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| Authors: | S. Hill K. S. Moore W. Reichel |
| Affiliation: | Department of Mathematics, Rowan University, Glassboro, New Jersey 08028 K. S. Moore ; Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269 ; Mathematisches Institut, Universität zu Köln, 50931 Köln, Germany |
| Abstract: | On bounded domains |
| Keywords: | Anisotropic singular equations comparison principles |
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we consider the anisotropic problems 
in 
with 
and 
on 
and 
in 
with 
and 
on 
. Moreover, we generalize these boundary value problems to space-dimensions 
. Under geometric conditions on 
and monotonicity assumption on 
we prove existence and uniqueness of positive solutions.