AbstractFor m ⩾ 3 and b > 0, let Bm = {x ϵ Rm : ¦x¦ ⩽ 1} and Em(b) = {(ω, y) ϵ Rm × R : ¦ω¦2 + y2b2 = 1}. Set r = ¦x¦; the equator map u∗(x) = (xr, 0) belongs to H1, p(Bm, Em(b)) and is weakly p-harmonic if and only if p < m. We study the stability of this map for 2 ⩽ p < m; in particular, we establish a condition on p and b which is necessary and sufficient for the stability of u∗
In this paper we prove partial regularity for a weakly stable p-harmonic map from Omega into S-k whe...
This paper studies stability of the Ekman boundary layer. We utilize a new approach developed by the...
We show how a rigidity estimate introduced in recent work of Bernand-Mantel, Muratov and Simon can b...
In this paper we show that the equator map is a minimizer of the Hessian energy H(u) = integral Omeg...
In 1983, Jager and Kaul proved that the equator map u*(x) = (x/\x\,0) : B-n --> S-n is unstable f...
The goal of this project is to investigate constant properties (called the Liouville-type Problem) f...
Let Bn ⊂ ℝn and Sn ⊂ Rn+1 denote the Euclidean n-dimensional unit ball and sphere, respectively. The...
In the first part of this thesis, we are interested in representing homotopy groups by p-harmonic ma...
We define a negative exponential harmonic map from the ball B(n) of R(n) into the sphere S(n) of R(n...
In 1981, Sacks and Uhlenbeck introduced their famous $\alpha$-energy as a way to approximate the Dir...
We study the stability of elliptic rest points and periodic points of Hamiltonian systems of two deg...
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ABSTRACT. Let u be a harmonic map from a unit ball B in Rn into a nonpositively curved manifold, E(u...
In this paper we prove partial regularity for a weakly stable p-harmonic map from Omega into S-k whe...
This paper studies stability of the Ekman boundary layer. We utilize a new approach developed by the...
We show how a rigidity estimate introduced in recent work of Bernand-Mantel, Muratov and Simon can b...
In this paper we show that the equator map is a minimizer of the Hessian energy H(u) = integral Omeg...
In 1983, Jager and Kaul proved that the equator map u*(x) = (x/\x\,0) : B-n --> S-n is unstable f...
The goal of this project is to investigate constant properties (called the Liouville-type Problem) f...
Let Bn ⊂ ℝn and Sn ⊂ Rn+1 denote the Euclidean n-dimensional unit ball and sphere, respectively. The...
In the first part of this thesis, we are interested in representing homotopy groups by p-harmonic ma...
We define a negative exponential harmonic map from the ball B(n) of R(n) into the sphere S(n) of R(n...
In 1981, Sacks and Uhlenbeck introduced their famous $\alpha$-energy as a way to approximate the Dir...
We study the stability of elliptic rest points and periodic points of Hamiltonian systems of two deg...
Abstract. To determine the stability and instability of a given steady galaxy con guration is one of...
Abstract: The Riemann ellipsoids are steady motions of an ideal, incompressible, self-gravitating fl...
Abstract. We prove (see Theorem 1.3 below) that a generalized harmonic map into a round sphere, i.e....
ABSTRACT. Let u be a harmonic map from a unit ball B in Rn into a nonpositively curved manifold, E(u...
In this paper we prove partial regularity for a weakly stable p-harmonic map from Omega into S-k whe...
This paper studies stability of the Ekman boundary layer. We utilize a new approach developed by the...
We show how a rigidity estimate introduced in recent work of Bernand-Mantel, Muratov and Simon can b...
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