L2-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.
Landau's theorem for p-harmonic mappings in several variables
A 2p-times continuously differentiable complex-valued function f = u + iv in a domain D ⊆ ℂ is p-harmonic if f satisfies the p-harmonic equation , where p (≥ 1) is a positive integer and Δ represents the complex Laplacian operator. If Ω ⊂ ℂⁿ is a domain, then a function is said to be p-harmonic in Ω if each component function (i∈ 1,...,m) of is p-harmonic with respect to each variable separately. In this paper, we prove Landau and Bloch’s theorem for a class of p-harmonic mappings f from...
Le compactifié de Martin d’un domaine Lipschitzien borné dans
Level sets of polynomials in several real variables.
Lewy's theorem fails in higher dimensions.
Limites de quotients de fonctions harmoniques et espaces de Hardy associés à une marche aléatoire sur un groupe abélien
Liouville type theorems for φ-subharmonic functions.
In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.
Liouville's theorem and the restricted mean property for biharmonic functions.
Lipschitz conditions on the modulus of a harmonic function.
Littlewood-Paley type inequalities for -harmonic functions.
Littlewood-Paley Type Inequalities for M-harmonic Functions
Local inequalities for plurisubharmonic functions.
Lp continuity of projectors of weighted harmonic Bergman spaces.