Statistical Functional Equations and p-Harmonious Functions
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Publication:4920728
DOI10.1515/ans-2013-0111zbMath1277.35188OpenAlexW2507246581MaRDI QIDQ4920728
Matthew Rudd, David A. Hartenstine
Publication date: 22 May 2013
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2013-0111
Functional equations for real functions (39B22) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Theoretical approximation in context of PDEs (35A35) Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (9)
Nonlocal averages in space and time given by medians and the mean curvature flow ⋮ Variational approach to the asymptotic mean-value property for the \(p\)-Laplacian on Carnot groups ⋮ NONLINEAR MEAN-VALUE FORMULAS ON FRACTAL SETS ⋮ Estimates for nonlinear harmonic measures on trees ⋮ Maximal operators for the \(p\)-Laplacian family ⋮ Dirichlet-to-Neumann maps on trees ⋮ Variational \(p\)-harmonious functions: existence and convergence to \(p\)-harmonic functions ⋮ Mean value properties of fractional second order operators ⋮ Statistical exponential formulas for homogeneous diffusion
Cites Work
- A convergent monotone difference scheme for motion of level sets by mean curvature
- A theorem on level lines of continuous functions
- Positive solutions of quasilinear boundary value problems
- Periodic solutions of nonlinear differential equations
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- An asymptotic mean value characterization for 𝑝-harmonic functions
- Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions
- Positive Radial Solutions of Some Nonlinear Partial Differential Equations
- Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems
- Boundary value problems for delay-differential equations
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