Map · 31
potential theory
MSC 31 · Potential theory
121 declarations (110 theorems, 11 definitions) across 8 files. The 1000+ theorems list has no entries in this area.
Files are assigned to areas by a language model reading each file's documentation. Report a file that is in the wrong area.
Subareas2
- 31B Higher-dimensional potential theory 103
- 31A Two-dimensional potential theory 18
Files8
Largest first. The code after each file is its assigned subarea.
- Mathlib.Analysis.InnerProductSpace.Laplacian
The Laplacian
31B · 44
- Mathlib.Analysis.InnerProductSpace.Harmonic.HarmonicContOnCl
Functions Harmonic on a Domain and Continuous on Its Closure
31B · 29
- Mathlib.Analysis.InnerProductSpace.Harmonic.Basic
Harmonic Functions
31B · 24
- Mathlib.Analysis.Complex.Harmonic.Analytic
Analyticity of Harmonic Functions
31A · 8
- Mathlib.Analysis.InnerProductSpace.Harmonic.Constructions
Construction of Harmonic Functions
31B · 6
- Mathlib.Analysis.Complex.Harmonic.MeanValue
The Mean Value Property of Vector-Valued Harmonic Functions
31A · 5
- Mathlib.Analysis.Complex.Harmonic.Poisson
Poisson Integral Formula
31A · 4
- Mathlib.Analysis.Complex.Harmonic.Liouville
Liouville's Theorem for Harmonic Functions on the Complex Plane
31A · 1