Results 11 to 20 of about 179 (164)

Subsolutions: A journey from positone to infinite semipositone problems

Electronic Journal of Differential Equations, 2009
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 ...
Eun Kyoung Lee, Ratnasingham Shivaji, Jinglong Ye   +2 more
doaj   +3 more sources

Self-antidual extensions and subsolutions

Mathematical Social Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bas J. Dietzenbacher, Elena Yanovskaya
openaire   +3 more sources

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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Tangents to subsolutions: existence and uniqueness, Part I [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2017
There is an interesting potential theory associated to each degenerate elliptic, fully nonlinear equation f ( D 2 u
Harvey, F. Reese, Lawson, H. Blaine
openaire   +5 more sources

Piecewise Constant Subsolutions for the Muskat Problem [PDF]

Communications in Mathematical Physics, 2018
We show the existence of infinitely many admissible weak solutions for the incompressible porous media equations for all Muskat-type initial data with $C^{3,α}$-regularity of the interface in the unstable regime and for all non-horizontal data with $C^{3,α}$-regularity in the stable regime.
Clemens Förster, László Székelyhidi
openaire   +3 more sources

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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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
openaire   +4 more sources

An Algorithm to Construct Subsolutions of Convex Optimal Control Problems

SIAM Journal on Control and Optimization, 2022
37 pages, 3 figures, 5 tables.
Gianmarco Bet, Markus Fischer
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The Hölder continuous subsolution theorem for complex Hessian equations [PDF]

Journal de l’École polytechnique — Mathématiques, 2020
Let Ω ⋐ ℂ n be a bounded strongly
Benali, Amel, Zeriahi, Ahmed
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Partial Regularity of the Gradient for Subsolutions

Bulletin of the Brazilian Mathematical Society, New Series
Abstract For any subharmonic function u , we prove that $$|\partial _j u|$$ |
A. Hakobyan, M. Poghosyan, H. Shahgholian   +2 more
openaire   +2 more sources