Results 21 to 30 of about 412 (197)

Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations [PDF]

Calculus of Variations and Partial Differential Equations
Abstract We obtain new $$L_p$$ L p estimates for subsolutions to fully nonlinear equations. Based on our $$L_p$$
Hongjie Dong, Shuhei Kitano
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The Richberg technique for subsolutions [PDF]

Communications in Analysis and Geometry, 2020
This note adapts the sophisticated Richberg technique for approximation in pluripotential theory to the $F$-potential theory associated to a general nonlinear convex subequation $F \subset J^2(X)$ on a manifold $X$. The main theorem is the following "local to global" result.
Harvey, Reese, Lawson, Blaine, Pliś, Szymon   +2 more
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The Chirka - Lindelof and Fatou theorems for d-bar subsolutions [PDF]

, 2018
We prove analogs of the Chirka - Lindelof and Fatou theorems for bounded functions with bounded d-bar on a strictly pseudoconvex domain in an almost complex ...
Alexandre Sukhov
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Self-antidual extensions and subsolutions

Mathematical Social Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bas Dietzenbacher, Elena Yanovskaya
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Importance Sampling for a Simple Markovian Intensity Model Using Subsolutions [PDF]

ACM Transactions on Modeling and Computer Simulation, 2022
This article considers importance sampling for estimation of rare-event probabilities in a specific collection of Markovian jump processes used for, e.g., modeling of credit risk. Previous attempts at designing importance sampling algorithms have resulted in poor performance and the main contribution of the article is the design of efficient importance
Boualem Djehiche, Henrik Hult, Pierre Nyquist   +2 more
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The continuous subsolution problem for complex Hessian equations [PDF]

Indiana University Mathematics Journal
This is the final version accepted for publication in IUMJ.
Mohamad Charabati, Ahmed Zériahi
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Existence and nonexistence of subsolutions for augmented Hessian equations

Discrete & Continuous Dynamical Systems - A, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Limei Dai
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SUBSOLUTIONS: A JOURNEY FROM POSITONE TO INFINITE SEMIPOSITONE PROBLEMS

Electronic Journal of Differential Equations, 2016
Summary: We discuss the existence of positive solutions to \(-\Delta u=\lambda f(u)\) in \(\Omega\), with \(u=0\) on the boundary, where \(\lambda\) is a positive parameter, \(\Omega\) is a bounded domain with smooth boundary \(\Delta \) is the Laplacian operator, and \(f:(0,\infty)\to\mathbb R\) is a continuous function.
Eun Kyoung Lee, R. Shivaji, Jinglong Ye
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Regularization of Subsolutions in Discrete Weak KAM Theory [PDF]

Canadian Journal of Mathematics, 2013
AbstractWe expose different methods of regularizations of subsolutions in the context of discrete weak KAM theory that allow us to prove the existence and the density of C1,1 subsolutions. Moreover, these subsolutions can be made strict and smooth outside of the Aubry set.
Bernard, Patrick, Zavidovique, Maxime
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Entire subsolutions of Monge-Ampère type equations

Communications on Pure & Applied Analysis, 2020
In this paper, we consider the subsolutions of the Monge-Ampere type equations \begin{document}$ {\det}^{\frac{1}{n}}(D^2u+\alpha I) = f(u) $\end{document} in \begin{document}$ \mathbb{R}^{n} $\end{document} . We obtain the necessary and sufficient condition of the existence of subsolutions.
Limei Dai, Hongyu Li
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