A Cyclic Projection Algorithm Via Duality.
A Narasimhan-Seshardri-Donaldson Correspondance over Non-orientable Surfaces.
A partial regularity result for a class of stationary Yang-Mills in high dimension.
We prove, for arbitrary dimension of the base n greater than or equal to 4, stationary Yang-Mills Fields satisfying Borne approximability property are regular apart from a closed subset of the base having zero (n-4)- Hausdorff measure.
A Pertubation Theorem for Surfaces of Constant Mean Curvature.
A saddle point approach to nonlinear eigenvalue problems
Addenda to the book “Critical points at infinity in some variational problems” and to the paper “The scalar-curvature problem on the standard three-dimensional sphere”
An existence theorem for a non-regular variational problem.
An -isolation theorem for Yang-Mills fields
An L...-Estimate for the gradient of extremals.
Applications Harmoniques de Variétés Produits.
convergence of minimizers of a Ginzburg-Landau functional.
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Critical points of embeddings of into Orlicz spaces
Degree 1 singularities of energy minimizing maps to a bumpy sphere.
Degree Theory on Orientated Infinite Dimensional Varieties and the Morse Number of Minimal Surfaces Spanning a Curve.
Die Jacobifelder zu Minimalflächen im ...
Energy gaps for exponential Yang-Mills fields
In this paper, some inequalities of Simons type for exponential Yang-Mills fields over compact Riemannian manifolds are established, and the energy gaps are obtained.
Energy quantization and mean value inequalities for nonlinear boundary value problems
We give a unified statement and proof of a class of well known mean value inequalities for nonnegative functions with a nonlinear bound on the Laplacian. We generalize these to domains with boundary, requiring a (possibly nonlinear) bound on the normal derivative at the boundary. These inequalities give rise to an energy quantization principle for sequences of solutions of boundary value problems that have bounded energy and whose energy densities satisfy nonlinear bounds on the Laplacian and normal...
Energy quantization for Yamabe's problem in conformal dimension.
Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)