Comparison principle for second order elliptic operators and applications
نویسندگان
چکیده
منابع مشابه
On a factorization of second order elliptic operators and applications
We show that given a nonvanishing particular solution of the equation (div p grad+q)u = 0, (1) the corresponding differential operator can be factorized into a product of two first order operators. The factorization allows us to reduce the equation (1) to a first order equation which in a two-dimensional case is the Vekua equation of a special form. Under quite general conditions on the coeffic...
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Let (M, g) be a closed Riemannian manifold of dimension n ≥ 3 and let f ∈ C∞(M), such that the operator Pf := ∆g + f is positive. If g is flat near some point p and f vanishes around p, we can define the mass of Pf as the constant term in the expansion of the Green function of Pf at p. In this paper, we establish many results on the mass of such operators. In particular, if f := n−2 4(n−1) sg, ...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2006
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2005.02.005