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The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations

✍ Scribed by Hua Chen; Ke Li


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
215 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis


Dedicated to the memory of Leonid R. Volevich

Let X = (X1, . . . , Xm) be an infinitely degenerate system of vector fields. We study the existence and regularity of multiple solutions of the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic operators associated with the sum of square operator Ξ”X = È m j=1 X * j Xj .


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