Title of article :
Hardy-type inequalities and Pohozaev-type identities for a class of p-degenerate subelliptic operators and applications
Original Research Article
Author/Authors :
Huiqing Zhang، نويسنده , , Zixia Yuan and Pengcheng Niu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
The purpose of this paper is to consider a class of p-degenerate subelliptic operators View the MathML source constructed by generalizing Greinerʹs vector fields. 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 fields are proved. Some Pohozaev-type identities and applications to nonlinear equations are given. Finally, a Carleman-type estimate and uniqueness of the operator View the MathML source are discussed.
Keywords :
Fundamental solution , Picone identity , Hardy inequality , nonexistence , Carleman estimate , Uniqueness , Pohozaev identity
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications