New posts in harmonic-functions

Solutions to Dirichlet problem on manifolds with boundary

Error on Wikipedia: Nelson's proof of Liouville's theorem works only for bounded modulus?

Estimates on Derivatives

Finding fundamental solution to the biharmonic operator $\Delta^2=\Delta(\Delta)$?

Interior gradient bound

$\Delta u=\text{constant}$ in a domain with von Neumann boundary condition

Prove the uniqueness of poisson equation with robin boundary condition

Laplace equation Dirichlet problem on punctured unit ball.

is there a way to prove the Mean-value formulas using complex analysis?

Heat Equation + Uniform Convergence in time -> Harmonic Limit

$\log|z|$ has no harmonic conjugate in $\Bbb C\setminus\{0\}$ – different proof

Diffeomorphisms preserving harmonic functions

Integration trick $\int^{2\pi}_{0} f(a+ r \cos \theta, b+r\sin \theta)d\theta=2\pi f(a,b)$

Prove that a non-constant harmonic function is an open map.

Show harmonic function is constant on $\mathbb{R}^n$

Mean Value Property of Harmonic Function on a Square

Source of the "$\cosh$ trick" for Laplacian eigenfunctions or Helmholtz equation solutions?

How can I find all holomorphic functions $f:\mathbb C \to \mathbb C$ having $f=u+iv$ with $v(x,y)=u^2(x,y)$

Bounded, non-constant harmonic functions: how far are they from existing?

Is there more to complex analysis than a two-dimensional potential theory?