In this paper we are concerned with weak solutions of differential inequalities on a complete Riemannian manifold M of dimension n. More precisely, our aim is to prove maximum principles for inequalities governed by operators which may be inhomogeneous. For these problems the theory of the paper applies and general maximum principles still hold true for their weak solutions.
Maximum Principles for inhomogeneous elliptic inequalities on complete Riemannian manifolds
MUGNAI, Dimitri;PUCCI, Patrizia
2009
Abstract
In this paper we are concerned with weak solutions of differential inequalities on a complete Riemannian manifold M of dimension n. More precisely, our aim is to prove maximum principles for inequalities governed by operators which may be inhomogeneous. For these problems the theory of the paper applies and general maximum principles still hold true for their weak solutions.File in questo prodotto:
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