EUDML

Advanced Search

Currently displaying 1 – 6 of 6

Order by Relevance | Title | Year of publication

Regularity of p-harmonic maps from the p-dimensional ball into a sphere.

Pawel Strzelecki — 1994

Manuscripta mathematica

Stationary p-harmonic maps into spheres

Paweł Strzelecki — 1996

Banach Center Publications

Asymptotics for the minimization of a Ginzburg-Landau energy in n dimensions

Paweł Strzelecki — 1996

Colloquium Mathematicae

We prove that minimizers $u \in W^{1, n}$ of the functional $E_{} (u) = 1 / n \int_{|} {\nabla u |}^{n} d x + 1 / (4^{n}) \int_{(} 1 - {| u |}^{2})^{2} d x$ , ⊂ $ℝ^{n}$ , n ≥ 3, which satisfy the Dirichlet boundary condition $u_{} = g$ on for g: → $S^{n - 1}$ with zero topological degree, converge in $W^{1, n}$ and $C_{l o c}^{α}$ for any α<1 - upon passing to a subsequence $_{k} \to 0$ - to some minimizing n-harmonic map. This is a generalization of an earlier result obtained for n=2 by Bethuel, Brezis, and Hélein. An example of nonunique asymptotic behaviour (which cannot occur in two dimensions if deg g = 0) is presented.

On the differentiability of solutions of quasilinear elliptic equations

Piotr Hajłasz; Paweł Strzelecki — 1993

Colloquium Mathematicae

Weak compactness of solutions for fourth order elliptic systems with critical growth

Paweł Goldstein; Paweł Strzelecki; Anna Zatorska-Goldstein — 2013

Studia Mathematica

We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that a weak limit of weak solutions to such systems is again a weak solution to a limit system.

On polyharmonic maps into spheres in the critical dimension

Paweł Goldstein; Paweł Strzelecki; Anna Zatorska-Goldstein — 2009

Annales de l'I.H.P. Analyse non linéaire

Page 1

Download Results (CSV)