Outi Elina Kansanen
Post-doctoral Researcher at KTH Royal Institute of Technology, PhD
Research interests
- Calculus of variations in metric spaces
- Nonlinear PDE
- Harmonic analysis
Teaching in HUT
- Analysis 1 fall 2009
- Algebra I spring 2008
- Foundations of Modern Analysis springs 2003 and 2004
Research papers
- The Gehring lemma in metric spaces, preprint, (2006).
- Stability of quasiminimizers of the p-Dirichlet integral with varying p on metric spaces (with A. Zatorska-Goldstein)
in J. Lond. Math. Soc. (2) (2008), 77(3), 771-788.
- Integrability of p-superharmonic functions on metric spaces,
J. Anal. Math. 106 (2008), 191--207. - Local boundedness of minimizers of integral functionals with (p,q)-growth on metric spaces, (with B. Stroffolini and A. Verde),
Funct. Approx. Comment. Math. 40(1) (2009), 127--138. - A note on global integrability of upper gradients of p-superharmonic functions, (with A. Zatorska-Goldstein), Colloq. Math.117 (2009), 281-288.
- Functional Inequalities and Hamilton-Jacobi Equations in Geodesic Spaces (with Z.B. Balogh, A. Engoulatov, L. Hunziker), submitted.
- Strong A∞-weights are A∞-weights on metric spaces, (with R. Korte), Rev. Math. Iberoam. 27 (2011), 335-354.
- John-Nirenberg lemmas for a doubling measure (with D. Aalto, L. Berkovits and H. Yue), to appear in Studia Mathematica.
- Stability of solutions of the double obstacle problem on metric spaces (with M. Eleuteri, Z. Farnana and R. Korte), to appear in Proceedings of the ICM2010 Satellite Conference International workshop on Harmonic and Quasiconformal Mappings (HQM2010).
Other
- Leikki metrisessä avaruudessa kannustaa luovuuteen (with R. Korte), popular article, Arkhimedes 04/2008.
-
Self-improving phenomena in the calculus of variations on metric spaces
PhD thesis, Helsinki University of Technology, 2008. - On the stability of quasiminimizers of the p-Dirichlet integral
Licentiate's thesis, Helsinki University of Technology, 2007. - BMO-funktioiden karakterisaatioita
Master's thesis (in Finnish), Helsinki University of Technology, 2004.