Results 61 to 70 of about 412 (197)
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
The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang +2 more
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Uniqueness of subsolutions to the heat equation on Finsler measure spaces [PDF]
, 2023 Qiaoling Xia
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Convexity of average operators for subsolutions to subelliptic equations [PDF]
Analysis & PDE, 2014 We study convexity properties of the average integral operators naturally associated with divergence-form second-order subelliptic operators ℒ with nonnegative characteristic form. When ℒ is the classical Laplace operator, these average operators are the usual average integrals over Euclidean spheres.
BONFIGLIOLI, ANDREA +2 more
openaire +2 more sources
Intrinsic Hopf–Lax formula and Hamilton–Jacobi equation
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1208-1228, April 2025.Abstract The purpose of this article is to analyze the notion of intrinsic Hopf–Lax formula and its connection with the Hamilton–Jacobi‐type equation.
Daniela Di Donato
wiley +1 more source
Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds [PDF]
, 2023 Philipp Sürig
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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
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball
Electronic Journal of Differential Equations, 2013 In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem $$displaylines{ -Delta u=a(x)u^{sigma }quadext{in }D, cr lim _{|x|o 1}u(x)= lim_{|x|o ...
Habib Maagli +2 more
doaj
A nonlinear characterization of stochastic completeness of graphs
Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley +1 more source
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains
Electronic Journal of Differential Equations, 2018 In this article, we study the existence, uniqueness and the asymptotic behavior of a positive classical solution to the semilinear boundary value problem $$\displaylines{ -\Delta u=a(x)u^{\sigma }\quad \text{in }D, \cr u|_{\partial D}=0,\quad ...
Habib Maagli +2 more
doaj