Results 41 to 50 of about 1,359,151 (113)
Electronic Journal of Differential Equations, 2009 The Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.
Kazushige Nakagawa, Shigeaki Koike
doaj
Time‐insensitive nonlocal parabolic Harnack estimates
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish new Harnack estimates that defy the waiting‐time phenomenon for global solutions to nonlocal parabolic equations. Our technique allows us to consider general nonlocal operators with bounded measurable coefficients. Moreover, we show that a waiting‐time is required for the nonlocal parabolic Harnack inequality when local solutions ...
Naian Liao, Marvin Weidner
wiley +1 more source
A new proof of Harnack's inequality for elliptic partial differential equations in divergence form
Electronic Journal of Differential Equations, 2007 In this paper we give a new proof of Harnack's inequality for elliptic operator in divergence form. We imitate the proof given by Caffarelli for operators in nondivergence form.
Alejandra Perini +2 more
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Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 545-591, March 2025.Abstract While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less is known about critical points of the corresponding energy. Saddle points of the energy (or of closely related energies) and solutions of the corresponding time‐dependent ...
Dennis Kriventsov, Georg S. Weiss
wiley +1 more source
Semiconvexity estimates for nonlinear integro‐differential equations
Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 592-647, March 2025.Abstract In this paper we establish for the first time local semiconvexity estimates for fully nonlinear equations and for obstacle problems driven by integro‐differential operators with general kernels. Our proof is based on the Bernstein technique, which we develop for a natural class of nonlocal operators and consider to be of independent interest ...
Xavier Ros‐Oton +2 more
wiley +1 more source
Local L∞-estimates, weak Harnack inequality, and stochastic continuity of solutions of SPDEs
, 2017 We consider stochastic partial differential equations under minimal assumptions: the coefficients are merely bounded and measurable and satisfy the stochastic parabolicity condition. In particular, the diffusion term is allowed to be scaling-critical. We
Gerencsér, M +3 more
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Harnack inequality for two-weight subelliptic p-Laplace operators
, 2006 In this note, we prove a Harnack inequality for two-weight subelliptic p-Laplace operators together with an upper bound of the Harnack constant associated with such ...
FERRARI, FAUSTO
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Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations [PDF]
In this paper, we establish the Harnack inequality of nonnegative weak solutions to the doubly nonlinear mixed local and nonlocal parabolic equations. This result is obtained by combining a related comparison principle, a local boundedness estimate, and ...
Shang, Bin +2 more
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Phragmèn-Lindelöf Principles for Second-Order Elliptic Equations via weak Harnack Inequality
, 2006 We discuss some Phragmen-Lindelof results in unbounded domains with a measure-geometric condition which includes cylinders and cones.
VITOLO, Antonio
core
On the Harnack inequality for quasilinear elliptic equations with a first-order term
, 2018 We consider weak solutions towith p > 1, q ≥ max{p − 1, 1}. We exploit the Moser iteration technique to prove a Harnack comparison inequality for C1 weak solutions. As a consequence we deduce a strong comparison principle.
Berardino Sciunzi +2 more
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