Isoperimetric inequalities and regularity of $a$-harmonic functions on surfaces

DOI10.1007/s00526-023-02651-yarXiv2303.15843MaRDI QIDQ6145662

Publication date: 2 February 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.15843

zbMATH Keywords

higher Sobolev regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potential theory on Riemannian manifolds and other spaces (31C12) Quasilinear elliptic equations (35J62) PDEs on manifolds (35R01)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On the electrostatic Born-Infeld equation with extended charges
Local gradient estimate for $p$-harmonic functions on Riemannian manifolds
Construction of harmonic diffeomorphisms and minimal graphs
Second-order two-sided estimates in nonlinear elliptic problems
The maximum principle
Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane
New examples of entire maximal graphs in $\mathbb H^2 \times \mathbb R_1$
Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
Spacelike hypersurfaces with prescribed boundary values and mean curvature
On p-harmonic functions in the plane and their stream functions
Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
Capacitary functions in convex rings
Elliptic partial differential equations of second order
Complete manifolds with positive spectrum
Concentration of total curvature of minimal surfaces in $\mathbb {H}^2\times \mathbb R$
On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations
Volume growth, Green's functions, and parabolicity of ends
Minkowski inequalities via nonlinear potential theory
A half-space theorem for ideal Scherk graphs in $M \times \mathbb R$
Asymptotic Dirichlet problem for $\mathcal{A}$-harmonic and minimal graph equations in Cartan-Hadamard manifolds
A Schoen theorem for minimal surfaces in $\mathbb{H}^2 \times \mathbb{R}$
Geometric aspects of $p$-capacitary potentials
Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
Sopra una classe di equazioni ellittiche a coefficienti misurabili
Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces
Minimal surfaces and harmonic diffeomorphisms from the complex plane onto certain Hadamard surfaces
Mean time exit and isoperimetric inequalities for minimal submanifolds of N ×ℝ
BARRIERS AND EXISTENCE RESULTS FOR A CLASS OF EQUATIONS OF MEAN CURVATURE TYPE
Some Isoperimetric Inequalities for the Level Curves of Capacity and Green’s Functions on Convex Plane Domains
p-Harmonic Functions in the Plane
On the fatou theorem for p-harmonic function
Local behavior and geometric properties of solutions to degenerate quasilinear elliptic equation in the plane
On the asymptotic behavior of minimal surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$
On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds
Conformal structure of autonomous Leray–Lions equations in the plane and linearisation by hodograph transform
On minimal surfaces bounded by two convex curves in parallel planes

This page was built for publication: Isoperimetric inequalities and regularity of $a$-harmonic functions on surfaces

Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces