Harmonic and subharmonic functions

[893/64%]

Subtopics

Newtonian and logarithmic potentials; attraction of bodies[259/82%]
Verifying that a function solves a PDE[76/45%]
Change of variables in differential expressions[72/90%]
Semicontinuous functions[39/36%]
Integral means of analytic functions[38/68%]
Riesz-Markov representation theorem (dual of C(X))[33/9%]
Liouville's theorem (complex analysis)[30/60%]
Identity theorem[28/50%]
Symmetry principle (Schwarz reflection)[28/25%]
Jensen's formula[27/70%]
Green's function for boundary value problems[25/68%]
Laplacian and gradient in curvilinear coordinates[22/86%]
Maximum principle (elliptic)[21/86%]
Mean-value property of harmonic functions[20/70%]
Trigonometric Integrals over a Period by Residues[19/95%]
Harmonicity of expressions built from analytic functions[17/53%]
Poisson integrals and boundary behavior[17/12%]
Conformal mapping method for the Dirichlet problem[13/100%]
Subharmonic Functions[13/15%]
Relative measure of a set in all intervals[11/55%]
Convolution with the Poisson kernel[10/10%]
Poisson and Schwarz integral formulas[10/100%]
Convexity in the growth of analytic and subharmonic functions[9/33%]
Morera's theorem[8/63%]
Harmonic measure[7/100%]
Harnack's inequality and principle[7/43%]
Martingales from harmonic and excessive functions of Markov processes[7/29%]
Sokhotski-Plemelj formulas[7/43%]
Abel-Poisson summation of Fourier series[6/17%]
Closed range theorem[6/0%]
Harmonic functions of a prescribed form[6/67%]
Spherical harmonics[6/50%]
Herglotz and Caratheodory functions[5/100%]
Power-series coefficients controlled by the real part[5/100%]
Conformal change of variables in derivatives and the Laplacian[4/100%]
Convergence and compactness of sequences of harmonic functions[2/0%]
Eigenvalue problems for the Laplacian[2/100%]
Harmonic and superharmonic functions of Markov chains[2/0%]
Kelvin Transform[2/100%]
Function algebras and their boundaries[1/0%]
Classical Potential Theory
Harmonic Function Theory on Riemann Surfaces
Nevanlinna theory
Perron Method for the Dirichlet Problem