Results 1 to 10 of about 232 (181)
Subsolution theorem and the Dirichlet problem for the quaternionic Monge–Ampère equation [PDF]
Mathematische Zeitschrift, 2020 In this paper, the author studies quaternionic Monge-Ampère equations and obtain the existence of the solutions to the Dirichlet problem for such equations in strictly pesudoconvex domains in quaternionic space. The stability and subsolution theorems are established for quaternionic Monge-Ampère equations.
Dongrui Wan
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The Hölder continuous subsolution theorem for complex Hessian equations [PDF]
Journal De L'Ecole Polytechnique - Mathematiques, 2020 Let Ω ⋐ ℂ n be a bounded strongly
Benali, Amel, Zeriahi, Ahmed
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A Refined Subsolution Estimate of Weak Subsolutions to Second Order Linear Elliptic Equations with a Singular Vector Field [PDF]
Tokyo Journal of Mathematics, 2015 We consider second order linear elliptic equations $ - \div (A(x) \nabla u) + \mathbf{b}(x) \cdot \nabla u = 0$ with a singular vector field $\mathbf{b}$. We prove a refined subsolution estimate, which contains a precise dependence of the quantities of $\mathbf{b}$, for weak subsolutions and a weak Harnack inequality for weak supersolutions under ...
Takanobu Hara
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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
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On the theory of entropy suband supersolutions of nonlinear degenerate parabolic equations
Современная математика: Фундаментальные направления, 2023 We consider a second-order nonlinear degenerate anisotropic parabolic equation in the case when the flux vector is only continuous and the nonnegative diffusion matrix is bounded and measurable.
E. Yu. Panov
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Self-antidual extensions and subsolutions
Mathematical Social Sciences, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bas J. Dietzenbacher, Elena Yanovskaya
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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
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Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent [PDF]
Opuscula Mathematica, 2021 We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent.
Abderrahim Charkaoui +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
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