List questions from harmonic-functions

289

Views

Faster Algorithm for counting non-negative tripple(a, b, c) satisfied (a + b + c <= S) and (a * b * c <= T) and subproblem divisor summatory function

Published on 22 Aug 2021 - 7:58

108

Views

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

Published on 26 Mar 2026 - 16:05

106

Views

What is the meaning of my partially solved PDE?

Published on 03 Sep 2021 - 20:54

301

Views

Laplace's equation in the first quadrant

Published on 02 Apr 2026 - 2:06

125

Views

Laplacian kernel decomposition over Gegenbauer polynomial

Published on 27 Mar 2026 - 0:01

215

Views

Some questions about separation of variables and convergence in Laplace's equation

Published on 26 Feb 2026 - 2:54

191

Views

Separation of Variables using Complex Fourier Series

Published on 13 Sep 2021 - 19:04

158

Views

Multi-valued holomorphic function

Published on 01 Apr 2026 - 9:51

126

Views

Proving $\sin^2(x)+\cos^2(x)=1$ using Abel's Theorem / Deriving Pythagoras Theorem from Abel's Theorem

Published on 23 Feb 2026 - 22:49

73

Views

If $u \geq 0$ is harmonic in $\Omega \subset \mathbb{R}^n$ open and connected, then either $u \equiv 0$ or $u > 0$ in every $\Omega$

Published on 02 Apr 2026 - 3:50

578

Views

PDE and Minimal Energy

Published on 28 Sep 2021 - 3:38

85

Views

Prove that $- \Delta(\eta^2 |\nabla u|^2) \le C |\nabla u|^2$ for $u$ harmonic.

Published on 02 Oct 2021 - 11:55

147

Views

Dirichlet problem with separation of variables

Published on 28 Mar 2026 - 2:03

132

Views

Harmonic maps with value in $S^1$

Published on 05 Oct 2021 - 20:54

84

Views

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

Published on 28 Mar 2026 - 16:59

List Question

Faster Algorithm for counting non-negative tripple(a, b, c) satisfied (a + b + c <= S) and (a * b * c <= T) and subproblem divisor summatory function

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

What is the meaning of my partially solved PDE?

Laplace's equation in the first quadrant

Laplacian kernel decomposition over Gegenbauer polynomial

Some questions about separation of variables and convergence in Laplace's equation

Separation of Variables using Complex Fourier Series

Multi-valued holomorphic function

Proving $\sin^2(x)+\cos^2(x)=1$ using Abel's Theorem / Deriving Pythagoras Theorem from Abel's Theorem

If $u \geq 0$ is harmonic in $\Omega \subset \mathbb{R}^n$ open and connected, then either $u \equiv 0$ or $u > 0$ in every $\Omega$

PDE and Minimal Energy

Prove that $- \Delta(\eta^2 |\nabla u|^2) \le C |\nabla u|^2$ for $u$ harmonic.

Dirichlet problem with separation of variables

Harmonic maps with value in $S^1$

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

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