Zobrazeno 1 - 10
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pro vyhledávání: '"Nonlinear potential theory"'
Let $(M, g)$ be a complete, connected, noncompact Riemannian $3$-manifold. In this short note, we give an alternative proof, based on the nonlinear potential theory, of the fact that if $(M,g)$ satisfies the Ricci-pinching condition and superquadrati
Externí odkaz:
http://arxiv.org/abs/2412.20281
Autor:
Kajino, Naotaka, Shimizu, Ryosuke
We introduce new contraction properties called the generalized $p$-contraction property for $p$-energy forms as generalizations of many well-known inequalities, such as Clarkson's inequalities, the strong subadditivity and the ``Markov property'' in
Externí odkaz:
http://arxiv.org/abs/2404.13668
Autor:
Harvey, F. Reese, Payne, Kevin R.
We discuss one of the many topics that illustrate the interaction of Blaine Lawson's deep geometric and analytic insights. The first author is extremely grateful to have had the pleasure of collaborating with Blaine over many enjoyable years. The top
Externí odkaz:
http://arxiv.org/abs/2203.14015
We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly established monotonicity formula holding along the level sets of the
Externí odkaz:
http://arxiv.org/abs/2205.11642
Akademický článek
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We prove comparison principles for nonlinear potential theories in euclidian spaces in a very straightforward manner from duality and monotonicity. We shall also show how to deduce comparison principles for nonlinear differential operators, a program
Externí odkaz:
http://arxiv.org/abs/2009.01611
Variable exponent Sobolev trace spaces and Dirichlet problem in axiomatic nonlinear potential theory
Autor:
Berghout, Mohamed
We give a news characterization of variable exponent Sobolev trace spaces. We construct The Perron-Weiner-Brelot operator in nonlinear harmonic space and we give sufficient condition for which this operator is injective.
Externí odkaz:
http://arxiv.org/abs/2008.00557