Results 1  10
of
16,351
Equivariant harmonic cylinders
"... Abstract. We prove that a primitive harmonic map is equivariant if and only if it admits a holomorphic potential of degree one. We investigate when the equivariant harmonic map is periodic, and as an application discuss constant mean curvature cylinders with screw motion symmetries. ..."
Abstract

Cited by 7 (3 self)
 Add to MetaCart
Abstract. We prove that a primitive harmonic map is equivariant if and only if it admits a holomorphic potential of degree one. We investigate when the equivariant harmonic map is periodic, and as an application discuss constant mean curvature cylinders with screw motion symmetries.
Equivariant gluing constructions of contact stationary . . .
 CALC. VAR. (2009) 35:57–102
, 2009
"... ..."
On Positive Harmonic Functions in Cones and Cylinders
, 2010
"... Abstract. We first consider a question raised by Alexander Eremenko and show that if Ω is an arbitrary connected open cone in Rd, then any two positive harmonic functions in Ω that vanish on ∂Ω must be proportionalan already known fact when Ω has a Lipschitz basis or more generally a John basis. It ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
Abstract. We first consider a question raised by Alexander Eremenko and show that if Ω is an arbitrary connected open cone in Rd, then any two positive harmonic functions in Ω that vanish on ∂Ω must be proportionalan already known fact when Ω has a Lipschitz basis or more generally a John basis
Renormalization and blow up for charge one equivariant critical wave maps
"... We prove the existence of equivariant finite time blowup solutions for the wave map problem from R2+1 → S2 of the form u(t, r) = Q(λ(t)r)+R(t, r) where u is the polar angle on the sphere, Q(r) = 2 arctan r is the ground state harmonic map, λ(t) = t−1−ν, and R(t, r) is a radiative error with loc ..."
Abstract

Cited by 63 (18 self)
 Add to MetaCart
We prove the existence of equivariant finite time blowup solutions for the wave map problem from R2+1 → S2 of the form u(t, r) = Q(λ(t)r)+R(t, r) where u is the polar angle on the sphere, Q(r) = 2 arctan r is the ground state harmonic map, λ(t) = t−1−ν, and R(t, r) is a radiative error
EQUIVARIANT POLYHARMONIC MAPS
"... Abstract. We study O(d)equivariant polyharmonic maps and their associated heat flows. We are mainly interested in blowup phenomena for the higher order flows. Such results have been hard to prove, due to the inapplicability of the maximum principle to these higher order flows. We believe that the ..."
Abstract
 Add to MetaCart
Mathematica code that computes our symmetry reduction for the polyharmonic map heat flow of any order. This code is then used to explicitly compute our symmetry reductions for the harmonic, as a check, and biharmonic cases. Next, the possible O(d)equivariant biharmonic maps from R4 into S4 are classified
Hydroelastic Oscillations of Smooth and Rough Cylinders in Harmonic Flow
, 1979
"... IS. SECURITY CLASS, (of iHla ripon) ..."
EQUIVARIANT MEASURABLE LIFTINGS
"... Abstract. We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Möbius group of the projective line. Since the general proof is very simple but not explicit, we also provide a much more explicit lifting ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Abstract. We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Möbius group of the projective line. Since the general proof is very simple but not explicit, we also provide a much more explicit lifting
Results 1  10
of
16,351