### Department of Mathematics and Systems Analysis

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Here are the reports authored by Outi Elina Maasalo. See the reports of all authors.

- A543
**Self-improving phenomena in the calculus of variations on metric spaces**[pdf][ps]- Received 2008-02-25 * BMO function, Caccioppoli inequality, capacity, doubling measure, Gehring lemma, geodesic space, global integrability, higher integrability, Hölder domain, metric space, Muckenhoupt weight, Newtonian space, p-fatness, Poincaré inequality, quasiminimizer, reverse Hölder inequality, superharmonic function, superminimizer, stability * AMS 31C05, 31C45, 42B25, 49N60, 49Q20 * 22 pages
- A500
**Stability of quasiminimizers of the p-Dirichlet integral with varying p on metric spaces**[pdf][ps] abstract: [pdf][ps]- Received 2006-04-24 * Caccioppoli inequality, capacity, doubling measure, Gehring lemma, metric space, Newtonian space, p-fatness, Poincaré inequality, quasiminimizer, stability * AMS Primary: 49Q20, Secondary: 31C45, 49N60 * 23 pages
- A497
**Gehring lemma in metric spaces**[pdf][ps] abstract: [pdf][ps]- Received 2006-03-13 * doubling measure, quasisymmetric mapping, metric space, Muckenhoupt weight, reverse Hölder inequality * AMS 42B25 * 26 pages

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