Boundary value problems for the Dunkl Laplacian
2018 ◽
Vol 38
(2)
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pp. 249-269
Keyword(s):
Let Δk be the Dunkl Laplacian on ℜd associated with a reflection group W and a multiplicity function k. The purpose of this paper is to establish the existence and the uniqueness of a positive solution on the unit ball B of ℜd to the following boundary value problem:Δku = φu in B and u = ƒ on ∂BWe distinguish two cases of nonnegative perturbation φ: trivial and nontrivial.
2006 ◽
Vol 11
(4)
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pp. 323-329
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1996 ◽
Vol 32
(9)
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pp. 41-49
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1999 ◽
Vol 42
(2)
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pp. 349-374
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2015 ◽
Vol 77
◽
pp. 240-246
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2009 ◽
Vol 32
(2)
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pp. 443-452
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Keyword(s):