List questions from elliptic-equations

Published on 28 Jul 2021 - 17:55

48

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Explicit bound for $C^{2,\alpha}$ elliptic theory

Published on 13 Aug 2021 - 23:20

476

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Check if ellipse lies inside rectangle

Published on 26 Mar 2026 - 3:00

110

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Coercivity of $B[u,v] = \int_\Omega a^{ij}\partial u_{x_i} \partial u_{x_j} + \int_\Omega c(x)uv $, with no sign assumption on $c(x)$

Published on 19 Aug 2021 - 20:16

153

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How much can we estimate the constant in Harnack’s inequality

Published on 21 Aug 2021 - 19:37

24

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How can I solve this PDE $h(\phi_{xx}+\phi_{yy})+h_{x}\phi_{x}+h_{y}\phi_{y}=0, h=5-e^{-x^4-y^2}$

Published on 28 Mar 2026 - 2:05

108

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How to use blow-up to prove the boundary regularity for a harmonic function

Published on 26 Mar 2026 - 16:05

176

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Existence of a weak solution to elliptic PDE with nonsmooth Robin boundary condition

Published on 03 Sep 2021 - 9:39

132

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how to tell the types of higher order partial differential equations?

Published on 27 Mar 2026 - 4:57

214

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An identity involving the Green's function of an elliptic operator

Published on 16 Sep 2021 - 19:09

679

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Equivalent norms in $H^2(\Omega)\cap H^1_0(\Omega)$

Published on 19 Sep 2021 - 14:37

50

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Smooth dependence of transition densities on parameters for SDEs

Published on 20 Sep 2021 - 15:58

159

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Parametric equation of egg curves (transformed ellipses): $\frac{x^2}{a} + \frac{y^2}{b}t_i(x) = 1$

Published on 23 Feb 2026 - 22:24

165

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Find the canonical form of the elliptic equation $u_{xx}-2u_{xy}+5u_{yy}=0.$

Published on 29 Sep 2021 - 16:27

136

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Gradient of fundamental solution of an elliptic PDE is also a solution far from the pole

Published on 01 Oct 2021 - 13:15

List Question

Inhomogeneous elliptic equation with Dirichlet and Neumann boundary conditions

Explicit bound for $C^{2,\alpha}$ elliptic theory

Check if ellipse lies inside rectangle

Coercivity of $B[u,v] = \int_\Omega a^{ij}\partial u_{x_i} \partial u_{x_j} + \int_\Omega c(x)uv $, with no sign assumption on $c(x)$

How much can we estimate the constant in Harnack’s inequality

How can I solve this PDE $h(\phi_{xx}+\phi_{yy})+h_{x}\phi_{x}+h_{y}\phi_{y}=0, h=5-e^{-x^4-y^2}$

How to use blow-up to prove the boundary regularity for a harmonic function

Existence of a weak solution to elliptic PDE with nonsmooth Robin boundary condition

how to tell the types of higher order partial differential equations?

An identity involving the Green's function of an elliptic operator

Equivalent norms in $H^2(\Omega)\cap H^1_0(\Omega)$

Smooth dependence of transition densities on parameters for SDEs

Parametric equation of egg curves (transformed ellipses): $\frac{x^2}{a} + \frac{y^2}{b}t_i(x) = 1$

Find the canonical form of the elliptic equation $u_{xx}-2u_{xy}+5u_{yy}=0.$

Gradient of fundamental solution of an elliptic PDE is also a solution far from the pole

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