Continuity estimates for $n$-harmonic equations

DOI10.1512/IUMJ.2007.56.2987zbMath1127.35013OpenAlexW1992193972MaRDI QIDQ5292686

Tadeusz Iwaniec, Jani Onninen

Publication date: 22 June 2007

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=2987&year=2007&volume=56

zbMATH Keywords

maximal functions\(n\)-harmonic equationOrlicz-Sobolev imbedding

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Nonlinear elliptic equations (35J60)

Related Items (11)

Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ A nonlinear Stein theorem ⋮ On the modulus of continuity of solutions to the \(n\)-Laplace equation ⋮ Mappings of generalized finite distortion and continuity ⋮ Continuity of solutions to \(n\)-harmonic equations ⋮ Poisson equation beyond its natural domain of definition ⋮ Gradient regularity for solutions to quasilinear elliptic equations in the plane ⋮ Estimates for \(p\)-Laplace type equation in a limiting case ⋮ Continuity properties of solutions to the \(p\)-Laplace system ⋮ Stability for \(p\)-Laplace type equation in a borderline case ⋮ On the generalized \(\mathfrak{U}_{m, p}^f\) classes of De Giorgi-ladyzhenskaya-ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials

This page was built for publication: Continuity estimates for $n$-harmonic equations