Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class [PDF]
Boundary Value Problems, 2007 We define a notion of Kato class of measures relative to a Riemannian strongly local p-homogeneous Dirichlet form and we prove a Harnack inequality (on balls that are small enough) for the positive solutions to a Schrödinger-type problem relative to ...
Silvana Marchi, Marco Biroli
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The Harnack inequality for infinity-harmonic functions [PDF]
Electronic Journal of Differential Equations, 1995 solutions of the equation $ Delta_infty u = 0 $ is proved, extending a previous result of L.C. Evans for smooth solutions. The method of proof consists in considering $ Delta_infty u = 0 $ as the limit as $poinfty$ of the more familiar $p$-harmonic ...
Peter Lindqvist, Juan J. Manfredi
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Harnack inequality and no-arbitrage bounds for self-financing portfolios [PDF]
, 2009 We give a direct proof of the Harnack inequality for a class of Kolmogorov operators associated with a linear SDE and we find the explicit expression of the optimal Harnack constant.
PASCUCCI, ANDREA +2 more
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Harnack inequality for nonlocal problems with non-standard growth
, 2022 Chaker J, Ki M, Weidner M. Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen . 2022;386:533–550 .We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non ...
Marvin Weidner +5 more
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Harnack Inequality and Fundamental Solution for Degenerate Hypoelliptic Operators [PDF]
, 2017 In this thesis we study subelliptic operators in divergence form on R^N, and we are interested in establishing Harnack inequalities related to these operators in various contexts.
Battaglia, Erika <1990>
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On the parabolic Harnack inequality for non-local diffusion equations [PDF]
, 2020 We settle the open question concerning the Harnack inequality for globally positive solutions to non-local in time diffusion equations by constructing a counter-example for dimensions d ≥ β, where β ∈ (0,2] is the order of the equation with respect to ...
Dier, Dominik +3 more
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On the Harnack inequality for antisymmetric $s$-harmonic functions [PDF]
, 2023 We prove the Harnack inequality for antisymmetric $s$-harmonic functions, and more generally for solutions of fractional equations with zero-th order terms, in a general domain.
Thompson, Jack +2 more
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On the Harnack inequality for non-divergence parabolic equations [PDF]
, 2021 In this paper we propose an elementary proof of the Harnack inequality for linear parabolic equations in non-divergence ...
Sandro Salsa, Ugo Gianazza
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Compactness methods for Hölder estimates of certain degenerate elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we obtain the interior $C^{1,\alpha}$ regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local $L^\infty$ estimates and weak Harnack inequality for second-order linear elliptic equations,
Fengping Yao, Mijia Lai, Huilian Jia
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Gradient estimates for the Fisher–KPP equation on Riemannian manifolds
Boundary Value Problems, 2018 In this paper, we consider positive solutions to the Fisher–KPP equation on complete Riemannian manifolds. We derive the gradient estimate. Using the estimate, we get the classic Harnack inequality which extends the recent result of Cao, Liu, Pendleton ...
Xin Geng, Songbo Hou
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