Add to ORKGAbstract. Let u1, 1t2t...ru * be nonconstant uniform limits (on compact subsets) of,4 harmonic functions in {c: lrl < n} C R ' where.4 satisfies certain elliptic structure conditions. Theauthorsshowthatifthereexistsl20suchthat(i) {c:u;(n
AbstractWe prove that if f is a quasiregular harmonic function, then there exists a number q∈(0,1) s...
C2,q(G n X) for all open sets G, C2,q denoting Bessel capacity, are not sufficient to characterize t...
We consider weak solutions to a class of Dirichlet boundary value problems involving the p-Laplace o...
AbstractWe give necessary and sufficient conditions for a function defined on a closed subset of RN ...
Abstract We prove that for harmonic quasiconformal mappings α-Hölder continuity on the bou...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
We show that, for a class of moduli functions ω(δ), 0 ≤ δ ≤ 2, the property |ϕ(ξ) − ϕ(η) | ≤ ω(|ξ ...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
If f = u + iv is analytic in the unit disk //D of the complex plane, then the conjugate harmonic com...
Suppose that E⊂Rn+1 is a uniformly rectifiable set of codimension 1. We show that every harmonic fun...
We consider planar $\sigma$-harmonic mappings, that is mappings $U$ whose components $u^1$ and $u^2$...
AbstractIn this paper it is shown that irregular boundary points for p-harmonic functions as well as...
Abstract. In this paper we study the limit as p(x)→ ∞ of solutions to −∆p(x)u = 0 in a domain Ω, wit...
summary:We prove two Dyakonov type theorems which relate the modulus of continuity of a function on ...
Let R be a compact surface and let Gamma be a Jordan curve which separates R into two connected comp...
AbstractWe prove that if f is a quasiregular harmonic function, then there exists a number q∈(0,1) s...
C2,q(G n X) for all open sets G, C2,q denoting Bessel capacity, are not sufficient to characterize t...
We consider weak solutions to a class of Dirichlet boundary value problems involving the p-Laplace o...
AbstractWe give necessary and sufficient conditions for a function defined on a closed subset of RN ...
Abstract We prove that for harmonic quasiconformal mappings α-Hölder continuity on the bou...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
We show that, for a class of moduli functions ω(δ), 0 ≤ δ ≤ 2, the property |ϕ(ξ) − ϕ(η) | ≤ ω(|ξ ...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
If f = u + iv is analytic in the unit disk //D of the complex plane, then the conjugate harmonic com...
Suppose that E⊂Rn+1 is a uniformly rectifiable set of codimension 1. We show that every harmonic fun...
We consider planar $\sigma$-harmonic mappings, that is mappings $U$ whose components $u^1$ and $u^2$...
AbstractIn this paper it is shown that irregular boundary points for p-harmonic functions as well as...
Abstract. In this paper we study the limit as p(x)→ ∞ of solutions to −∆p(x)u = 0 in a domain Ω, wit...
summary:We prove two Dyakonov type theorems which relate the modulus of continuity of a function on ...
Let R be a compact surface and let Gamma be a Jordan curve which separates R into two connected comp...
AbstractWe prove that if f is a quasiregular harmonic function, then there exists a number q∈(0,1) s...
C2,q(G n X) for all open sets G, C2,q denoting Bessel capacity, are not sufficient to characterize t...
We consider weak solutions to a class of Dirichlet boundary value problems involving the p-Laplace o...