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Consortium of Swiss Academic Libraries

On Calmness of the Argmin Mapping in Parametric Optimization Problems

Klatte, Diethard ; Kummer, Bernd

In: Journal of Optimization Theory and Applications, 2015, vol. 165, no. 3, p. 708-719

Consortium of Swiss Academic Libraries

Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds

Grohs, P. ; Hosseini, S.

In: Ima Journal of Numerical Analysis, 2016, vol. 36, no. 3, p. 1167-1192

Université de Fribourg

Maximal metric surfaces and the Sobolev-to-Lipschitz property

Creutz, Paul ; Soultanis, Elefterios

In: Calculus of Variations and Partial Differential Equations, 2020, vol. 59, no. 5, p. 177

We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume rigidity. We also apply our construction to solutions of the Plateau problem in metric spaces and obtain a variant of the associated intrinsic disc studied by...

Consortium of Swiss Academic Libraries

Interpolation of nonlinear maps

Kappeler, T. ; Savchuk, A. ; Shkalikov, A. ; Topalov, P.

In: Mathematical Notes, 2014, vol. 96, no. 5-6, p. 957-964

Université de Fribourg

Regularity of quasi-n-harmonic mappings into NPC spaces

Guo, Chang-Yu ; Xiang, Chang-Lin

In: Annali di Matematica Pura ed Applicata (1923 -), 2019, vol. 198, no. 2, p. 367–380

We prove local Hölder continuity of quasi-n-harmonic mappings from Euclidean domains into metric spaces with non-positive curvature in the sense of Alexandrov. We also obtain global Hölder continuity of such mappings from bounded Lipschitz domains.

Consortium of Swiss Academic Libraries

Hedge algorithm and Dual Averaging schemes

Baes, Michel ; Bürgisser, Michael

In: Mathematical Methods of Operations Research, 2013, vol. 77, no. 3, p. 279-289

Consortium of Swiss Academic Libraries

Stable multilevel splittings of boundary edge element spaces

Hiptmair, Ralf ; Mao, Shipeng

In: BIT Numerical Mathematics, 2012, vol. 52, no. 3, p. 661-685