List questions from elliptic-equations

Published on 07 Oct 2021 - 17:35

46

Views

Why $\sup _{\Omega} u \leq \sup _{\partial \Omega} u^{+}+M$ imply $\sup _{\Omega} |u| \leq \sup _{\partial \Omega} |u|+M$

Published on 08 Oct 2021 - 9:03

220

Views

Is the viscosity solution of Laplacian harmonic?

Published on 23 Feb 2026 - 6:01

171

Views

inequality of elliptic PDE with Dirichlet-Neumann boundary conditions

Published on 28 Mar 2026 - 12:14

49

Views

Elliptic equations in an Asymptotically Hyperbolic Manifold

Published on 13 Oct 2021 - 18:01

69

Views

There is uniqueness of solution to the problem $-\Delta u + u^4 =0$ in $\mathbb{R}^2$?

Published on 26 Oct 2021 - 20:50

45

Views

How to prove $u\in W^{1,p}_0(\Omega^+)$?

Published on 31 Oct 2021 - 14:25

772

Views

Compactness of the inverse Laplacian.

Published on 02 Nov 2021 - 12:31

160

Views

Change of variables and making boundary data homogeneous in Laplace equation

Published on 02 Nov 2021 - 21:58

66

Views

Maximum of $u$ solution of $-\Delta u + u^2 = f(|x|)$ in $B(0,1)$

Published on 04 Nov 2021 - 4:21

205

Views

Uniqueness of the Helmholtz equation for bounded domains

Published on 08 Nov 2021 - 21:09

316

Views

Neumann Boundary Condition around a square

Published on 27 Mar 2026 - 14:58

135

Views

Maximum principle for $-\Delta u=(u-1)(u+1)$

Published on 28 Mar 2026 - 4:00

92

Views

Regularity for a semilinear problem

Published on 17 Nov 2021 - 17:13

224

Views

Formula for analytical finding ellipse and circle intersection points if exist

Published on 19 Nov 2021 - 13:06

List Question

Positive function which is harmonic in every compact set in a cone

Why $\sup _{\Omega} u \leq \sup _{\partial \Omega} u^{+}+M$ imply $\sup _{\Omega} |u| \leq \sup _{\partial \Omega} |u|+M$

Is the viscosity solution of Laplacian harmonic?

inequality of elliptic PDE with Dirichlet-Neumann boundary conditions

Elliptic equations in an Asymptotically Hyperbolic Manifold

There is uniqueness of solution to the problem $-\Delta u + u^4 =0$ in $\mathbb{R}^2$?

How to prove $u\in W^{1,p}_0(\Omega^+)$?

Compactness of the inverse Laplacian.

Change of variables and making boundary data homogeneous in Laplace equation

Maximum of $u$ solution of $-\Delta u + u^2 = f(|x|)$ in $B(0,1)$

Uniqueness of the Helmholtz equation for bounded domains

Neumann Boundary Condition around a square

Maximum principle for $-\Delta u=(u-1)(u+1)$

Regularity for a semilinear problem

Formula for analytical finding ellipse and circle intersection points if exist

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