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Sobolev inequalities for Dirichlet forms on homogeneous spaces. (English) Zbl 0820.35035

Lions, Jacques-Louis (ed.) et al., Boundary value problems for partial differential equations and applications. Dedicated to Enrico Magenes on the occasion of his 70th birthday. Paris: Masson. Res. Notes Appl. Math. 29, 305-311 (1993).
The authors prove several inequalities for the Dirichlet form \(a(u,v)\) in a homogeneous space \(X\).
For the entire collection see [Zbl 0782.00097].

MSC:

35J15 Second-order elliptic equations
35C15 Integral representations of solutions to PDEs