The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
Micah Warren - One of the best experts on this subject based on the ideXlab platform.
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A Priori Estimate for Convex Solutions to Special Lagrangian Equations and Its Application
Communications on Pure and Applied Mathematics, 2009Co-Authors: Jingyi Chen, Yu Yuan, Micah WarrenAbstract:We derive a Priori interior Hessian Estimates for special Lagrangian equations when the potential is convex. When the phase is very large, we show that continuous viscosity solutions are smooth in the interior of the domain. c � 2008 Wiley Periodicals, Inc.
Yu Yuan - One of the best experts on this subject based on the ideXlab platform.
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Singular Solutions to Special Lagrangian Equations with Subcritical Phases and Minimal Surface Systems
American Journal of Mathematics, 2013Co-Authors: Dake Wang, Yu YuanAbstract:We construct singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems. A Priori Estimate breaking families of smooth solutions are also produced correspondingly. A Priori Estimates for special Lagrangian equations with certain convexity are largely known by now.
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A Priori Estimate for Convex Solutions to Special Lagrangian Equations and Its Application
Communications on Pure and Applied Mathematics, 2009Co-Authors: Jingyi Chen, Yu Yuan, Micah WarrenAbstract:We derive a Priori interior Hessian Estimates for special Lagrangian equations when the potential is convex. When the phase is very large, we show that continuous viscosity solutions are smooth in the interior of the domain. c � 2008 Wiley Periodicals, Inc.
Jingyi Chen - One of the best experts on this subject based on the ideXlab platform.
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A Priori Estimate for Convex Solutions to Special Lagrangian Equations and Its Application
Communications on Pure and Applied Mathematics, 2009Co-Authors: Jingyi Chen, Yu Yuan, Micah WarrenAbstract:We derive a Priori interior Hessian Estimates for special Lagrangian equations when the potential is convex. When the phase is very large, we show that continuous viscosity solutions are smooth in the interior of the domain. c � 2008 Wiley Periodicals, Inc.
Olivier Verdier - One of the best experts on this subject based on the ideXlab platform.
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Simplified a Priori Estimate for the Time Periodic Burgers' Equation
Proceedings of the Estonian Academy of Sciences, 2010Co-Authors: Magnus Fontes, Olivier VerdierAbstract:We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a Priori Estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time.
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simplified a Priori Estimate for the time periodic burgers equation
Proceedings of the Estonian Academy of Sciences, 2010Co-Authors: Magnus Fontes, Olivier VerdierAbstract:We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers’ equation with irregular forcing terms (with Sobolev regularity –1 in space). The ...
Lei Zhang - One of the best experts on this subject based on the ideXlab platform.
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a Priori Estimate for a family of semi linear elliptic equations with critical nonlinearity
Journal of Differential Equations, 2009Co-Authors: Lei ZhangAbstract:We consider positive solutions of Δu−μu+Kun+2n−2=0 on B1 (n⩾5) where μ and K>0 are smooth functions on B1. If K is very sub-harmonic at each critical point of K in B2/3 and the maximum of u in B¯1/3 is comparable to its maximum over B¯1, then all positive solutions are uniformly bounded on B¯1/3. As an application, a Priori Estimate for solutions of equations defined on Sn is derived.
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a Priori Estimate for a family of semi linear elliptic equations with critical nonlinearity
arXiv: Analysis of PDEs, 2008Co-Authors: Lei ZhangAbstract:We consider positive solutions of $\Delta u-\mu u+Ku^{\frac{n+2}{n-2}}=0$ on $B_1$ ($n\ge 5$) where $\mu $ and $K>0$ are smooth functions on $B_1$. If $K$ is very sub-harmonic at each critical point of $K$ in $B_{2/3}$ and the maximum of $u$ in $\bar B_{1/3}$ is comparable to its maximum over $\bar B_1$, then all positive solutions are uniformly bounded on $\bar B_{1/3}$. As an application, a Priori Estimate for solutions of equations defined on $\mathbb S^n$ is derived.
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A Priori Estimates and uniqueness for some mean field equations
Journal of Differential Equations, 2005Co-Authors: Marcello Lucia, Lei ZhangAbstract:Abstract We consider the classical solutions of - Δ v = α e v - β in Ω , where Ω is a bounded open set in R 2 . This equation is related to geometry and several fields of physics and has significant applications in the theory of plasma. We derive some uniqueness results and a Priori Estimate by using the classical isoperimetric inequality and the blow up analysis.