Results 11 to 20 of about 6,660 (232)
The continuous subsolution problem for complex Hessian equations [PDF]
Indiana University Mathematics JournalThis is the final version accepted for publication in IUMJ.
Mohamad Charabati, Ahmed Zériahi
exaly +4 more sources
Subsolution theorem for the complex Hessian equation [PDF]
, 2012 We prove the subsolution theorem for the complex Hessian equations in a smoothly bounded strongly $m$-pseudoconvex domain, $1 < m < n$, in $\bC^n$.Comment: 18 pages. Corrected typos.
Nguyen, Ngoc Cuong
core +6 more sources
Smooth subsolutions of the discounted Hamilton-Jacobi equations [PDF]
Differential and Integral Equations, 2020 For the discounted Hamilton-Jacobi equation,$$λu+H(x,d_x u)=0, \ x \in M, $$we construct $C^{1,1}$ subsolutions which are indeed solutions on the projected Aubry set. The smoothness of such subsolutions can be improved under additional hyperbolicity assumptions.
Huang, Xiyao +3 more
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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
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An Algorithm to Construct Subsolutions of Convex Optimal Control Problems [PDF]
SIAM Journal on Control and Optimization, 2022 37 pages, 3 figures, 5 tables.
Gianmarco Bet, Markus Fischer
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Tangents to subsolutions: existence and uniqueness, Part I [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2018 There is an interesting potential theory associated to each degenerate elliptic, fully nonlinear equation f ( D 2 u
F. Reese Harvey, H. Blaine Lawson
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Weak subsolutions to complex Monge-Ampère equations [PDF]
Journal of the Mathematical Society of Japan, 2017 We compare various notions of weak subsolutions to degenerate complex Monge-Ampère equations, showing that they all coincide. This allows us to give an alternative proof of mixed Monge-Ampère inequalities due to Kolodziej and Dinew.
Vincent Guedj +2 more
openalex +6 more sources
A subsolution-supersolution method for quasilinear systems
Electronic Journal of Differential Equations, 2005 Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
Dimitrios A. Kandilakis +1 more
doaj +2 more sources
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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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 +2 more
openaire +3 more sources