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Hardy-type inequalities and Pohozaev-type identities for a class of p-degenerate subelliptic operators and applications

✍ Scribed by Huiqing Zhang; Pengcheng Niu


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
201 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis


The purpose of this paper is to consider a class of p-degenerate subelliptic operators Lp constructed by generalizing Greiner's vector ÿelds. Their fundamental solutions at the origin are established with the aid of the properties of radial functions. A Picone-type identity and a Hardy-type inequality with respect to vector ÿelds are proved. Some Pohozaev-type identities and applications to nonlinear equations are given. Finally, a Carleman-type estimate and uniqueness of the operator L2 are discussed.


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