The aim of this paper is to investigate the existence of proper, weakly biharmonic maps within a family of rotationally symmetric maps ua : Bn → Sn, where Bn and Sn denote the Euclidean n-dimensional unit ball and sphere respectively. We prove that there exists a proper, weakly biharmonic map ua of this type if and only if n = 5 or n = 6. We shall also prove that these critical points are unstable
We seek critical points of the Hessian energy functional $$E_\Omega(u)\!=\!\int_\Omega\vert\Delta u\...
This article shows that if a sequence of weak solutions of a perturbed biharmonic map satisfies $Ph...
Let Bn ⊂ ℝn and Sn ⊂ Rn+1 denote the Euclidean n-dimensional unit ball and sphere, respectively. The...
“Nature uses as little as possible of anything ” (Kepler) This conviction of several centuries ago s...
We study biharmonic submanifolds of the Euclidean sphere that satisfy certain geometric properties. ...
In recent years, the study of the bienergy functional has attracted the attention of a large communi...
In this paper we survey the known results on the classification of biharmonic submanifolds in space ...
Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of bih...
The main aim of this paper is to study existence and stability properties of rotationally symmetric ...
AbstractIn this paper, we study the relaxed energy for biharmonic maps from an m-dimensional domain ...
Abstract. We generalize biharmonic maps between Riemannian manifolds into the case of the domain bei...
The existence of curves and symmetric maps with minimal total tension is proved. Such curves and map...
We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that i...
For n >= 5 and k >= 4, we show that any minimizing biharmonic map from Omega subset of R-n to S-k is...
We show a local wellposedness result for biharmonic wave maps with initial data of sufficiently high...
We seek critical points of the Hessian energy functional $$E_\Omega(u)\!=\!\int_\Omega\vert\Delta u\...
This article shows that if a sequence of weak solutions of a perturbed biharmonic map satisfies $Ph...
Let Bn ⊂ ℝn and Sn ⊂ Rn+1 denote the Euclidean n-dimensional unit ball and sphere, respectively. The...
“Nature uses as little as possible of anything ” (Kepler) This conviction of several centuries ago s...
We study biharmonic submanifolds of the Euclidean sphere that satisfy certain geometric properties. ...
In recent years, the study of the bienergy functional has attracted the attention of a large communi...
In this paper we survey the known results on the classification of biharmonic submanifolds in space ...
Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of bih...
The main aim of this paper is to study existence and stability properties of rotationally symmetric ...
AbstractIn this paper, we study the relaxed energy for biharmonic maps from an m-dimensional domain ...
Abstract. We generalize biharmonic maps between Riemannian manifolds into the case of the domain bei...
The existence of curves and symmetric maps with minimal total tension is proved. Such curves and map...
We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that i...
For n >= 5 and k >= 4, we show that any minimizing biharmonic map from Omega subset of R-n to S-k is...
We show a local wellposedness result for biharmonic wave maps with initial data of sufficiently high...
We seek critical points of the Hessian energy functional $$E_\Omega(u)\!=\!\int_\Omega\vert\Delta u\...
This article shows that if a sequence of weak solutions of a perturbed biharmonic map satisfies $Ph...
Let Bn ⊂ ℝn and Sn ⊂ Rn+1 denote the Euclidean n-dimensional unit ball and sphere, respectively. The...
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