On p-harmonic functions in the plane and their stream functions
From MaRDI portal
Publication:1112247
DOI10.1016/0022-0396(88)90022-8zbMath0659.35037OpenAlexW1997961641MaRDI QIDQ1112247
Gunnar Aronsson, Peter Lindqvist
Publication date: 1988
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(88)90022-8
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)
Related Items (17)
On Hele–Shaw flow of power-law fluids ⋮ On certain p-harmonic functions in the plane ⋮ Carathéodory operator of differential forms ⋮ On p-harmonic functions in the complex plane and curvature ⋮ Advances in differential forms and the \(A\)-harmonic equation ⋮ Regularity of the \(p\)-Poisson equation in the plane ⋮ Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces ⋮ Thoughts on the Busemann equation ⋮ Representation of a p-harmonic function near a critical point in the plane ⋮ Radó-Kneser-Choquet Theorem for simply connected domains ($p$-harmonic setting) ⋮ Some priori estimates about solutions to nonhomogeneous \(A\)-harmonic equations ⋮ \(p\)-harmonic functions with boundary data having jump discontinuities and Baernstein's problem ⋮ On complex-valued solutions to a 2D Eikonal equation. Part three: analysis of a Bäcklund transformation ⋮ Critical points of solutions of degenerate elliptic equations in the plane ⋮ On \(p\)-harmonic mappings in the plane ⋮ A solution of \(p\)-harmonic type equiations of fractional order ⋮ The streamlines of ∞-harmonic functions obey the inverse mean curvature flow
Cites Work
- Construction of singular solutions to the p-harmonic equation and its limit equation for \(p=\infty\)
- Regularity for a more general class of quasilinear equations
- On solutions of the equation \(D_{x_i}(| Du|^{p-2}D_{x_i}u)=0\) with a singularity at a boundary point
- Capacitary functions in convex rings
- A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Analytical foundations of the theory of quasiconformal mappings in R^n
- On The Dirichletproblem for Quasilinear Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On p-harmonic functions in the plane and their stream functions
