In 1983, Jager and Kaul proved that the equator map u*(x) = (x/\x\,0) : B-n --> S-n is unstable for 3 less than or equal to n less than or equal to 6 and a minimizer for the energy functional E(u, B-n) = integral B-n \del u\(2) dx in the class H-1,H-2(B-n, S-n) with u = u* on partial derivative B-n when n greater than or equal to 7. In this paper, we give a new and elementary proof of this Jager-Kaul result. We also generalize the Jager-Kaul result to the case of p-harmonic maps
We prove that for any real number p with 1 < p ≤ n - 1, the map x/|x| : B → S is the unique minimize...
This talk is intended to present the main results of my PhD Thesis concerning the theory of biharmon...
We introduce $n$/$p$-harmonic maps as critical points of the energy \[ \mathcal{E}_{n,p}(v) = \intl...
AbstractFor m ⩾ 3 and b > 0, let Bm = {x ϵ Rm : ¦x¦ ⩽ 1} and Em(b) = {(ω, y) ϵ Rm × R : ¦ω¦2 + y2b2 ...
In 1981, Sacks and Uhlenbeck introduced their famous $\alpha$-energy as a way to approximate the Dir...
Let H ‚àà C 2(‚ÑùN√ón), H ‚â• 0. The PDE system (Formula presented.) arises as the Euler-Lagrange PD...
In this note, we will outline the classical results of Eells-Sampson [7] on the harmonic heat flow, ...
In this note, we will outline the classical results of Eells-Sampson [7] on the harmonic heat flow, ...
In this paper, λ -harmonic maps from a Finsler manifold to a Riemannian manifold are stud...
We derive the formula in the title and deduce some consequences. For example we show that the identi...
Let Bn ⊂ ℝn and Sn ⊂ Rn+1 denote the Euclidean n-dimensional unit ball and sphere, respectively. The...
AbstractWe prove that the p(x)-Ginzburg–Landau type minimizers converge to the p(x)-harmonic maps. T...
(1.1) A map between Riemannian manifolds is harmonic if the divergence of its differential vanishes....
Differential Geometry : Proceedings of the First Intenational Symposiumu on Differential Geometry, F...
Let u be an F-harmonic map between Kahler manifolds of finite dimensions. When is u holomorphic or a...
We prove that for any real number p with 1 < p ≤ n - 1, the map x/|x| : B → S is the unique minimize...
This talk is intended to present the main results of my PhD Thesis concerning the theory of biharmon...
We introduce $n$/$p$-harmonic maps as critical points of the energy \[ \mathcal{E}_{n,p}(v) = \intl...
AbstractFor m ⩾ 3 and b > 0, let Bm = {x ϵ Rm : ¦x¦ ⩽ 1} and Em(b) = {(ω, y) ϵ Rm × R : ¦ω¦2 + y2b2 ...
In 1981, Sacks and Uhlenbeck introduced their famous $\alpha$-energy as a way to approximate the Dir...
Let H ‚àà C 2(‚ÑùN√ón), H ‚â• 0. The PDE system (Formula presented.) arises as the Euler-Lagrange PD...
In this note, we will outline the classical results of Eells-Sampson [7] on the harmonic heat flow, ...
In this note, we will outline the classical results of Eells-Sampson [7] on the harmonic heat flow, ...
In this paper, λ -harmonic maps from a Finsler manifold to a Riemannian manifold are stud...
We derive the formula in the title and deduce some consequences. For example we show that the identi...
Let Bn ⊂ ℝn and Sn ⊂ Rn+1 denote the Euclidean n-dimensional unit ball and sphere, respectively. The...
AbstractWe prove that the p(x)-Ginzburg–Landau type minimizers converge to the p(x)-harmonic maps. T...
(1.1) A map between Riemannian manifolds is harmonic if the divergence of its differential vanishes....
Differential Geometry : Proceedings of the First Intenational Symposiumu on Differential Geometry, F...
Let u be an F-harmonic map between Kahler manifolds of finite dimensions. When is u holomorphic or a...
We prove that for any real number p with 1 < p ≤ n - 1, the map x/|x| : B → S is the unique minimize...
This talk is intended to present the main results of my PhD Thesis concerning the theory of biharmon...
We introduce $n$/$p$-harmonic maps as critical points of the energy \[ \mathcal{E}_{n,p}(v) = \intl...
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