Add to ORKGAbstract. We characterize p-harmonic functions in terms of an as-ymptotic mean value property. A p-harmonic function u is a viscosity solution to ∆pu = div(|∇u|p−2∇u) = 0 with 1 < p ≤ ∞ in a domain Ω if and only if the expansion u(x) = α 2 ma
We derive asymptotic estimates at infinity for positive harmonic functions in a large class of non-s...
. --- For an arbitrary Markov operator P on a Lebesgue measure space (X; m) we construct a projectio...
International audienceWe prove a converse of the mean value property for superharmonic and subharmon...
We characterize p-harmonic functions in terms of an asymptotic mean value property. A p-harmonic fun...
Abstract. We characterize p-harmonic functions including p = 1 and p = ∞ by using mean value propert...
We characterize $p-$harmonic functions in the Heisenberg group in terms of an asymptotic mean valu...
Let 1 ≤ p≤ ∞. We show that a function u∈ C(RN) is a viscosity solution to the normalized p-Laplace e...
Hansen W, Nadirashvili N. Mean values and harmonic functions. Mathematische Annalen. 1993;297(1):157...
We prove a new asymptotic mean value formula for the p-Laplace operator, D(p)u = div(vertical bar de...
Hansen W, Netuka I. Inverse mean value property of harmonic functions. Mathematische Annalen. 1993;2...
Associated with a quasi-linear generator function g, we give a definition of g-harmonic functions. T...
AbstractWe characterize p-harmonic functions including p=1 and p=∞ by using mean value properties ex...
Abstract. We establish a mean value property for harmonic functions on the in-terior of a prolate el...
International audienceWe prove a converse of the mean-value property for polyharmonic functions: our...
We prove uniform convergence in Lipschitz domains of approximations to p-harmonic functions obtaine...
We derive asymptotic estimates at infinity for positive harmonic functions in a large class of non-s...
. --- For an arbitrary Markov operator P on a Lebesgue measure space (X; m) we construct a projectio...
International audienceWe prove a converse of the mean value property for superharmonic and subharmon...
We characterize p-harmonic functions in terms of an asymptotic mean value property. A p-harmonic fun...
Abstract. We characterize p-harmonic functions including p = 1 and p = ∞ by using mean value propert...
We characterize $p-$harmonic functions in the Heisenberg group in terms of an asymptotic mean valu...
Let 1 ≤ p≤ ∞. We show that a function u∈ C(RN) is a viscosity solution to the normalized p-Laplace e...
Hansen W, Nadirashvili N. Mean values and harmonic functions. Mathematische Annalen. 1993;297(1):157...
We prove a new asymptotic mean value formula for the p-Laplace operator, D(p)u = div(vertical bar de...
Hansen W, Netuka I. Inverse mean value property of harmonic functions. Mathematische Annalen. 1993;2...
Associated with a quasi-linear generator function g, we give a definition of g-harmonic functions. T...
AbstractWe characterize p-harmonic functions including p=1 and p=∞ by using mean value properties ex...
Abstract. We establish a mean value property for harmonic functions on the in-terior of a prolate el...
International audienceWe prove a converse of the mean-value property for polyharmonic functions: our...
We prove uniform convergence in Lipschitz domains of approximations to p-harmonic functions obtaine...
We derive asymptotic estimates at infinity for positive harmonic functions in a large class of non-s...
. --- For an arbitrary Markov operator P on a Lebesgue measure space (X; m) we construct a projectio...
International audienceWe prove a converse of the mean value property for superharmonic and subharmon...