Department of Mathematics and Systems Analysis

Publications

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Publications for the following people: Riikka Korte

2021 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2010 | 2009 | 2008 | 2007

2021

Durand-Cartagena, Estibalitz, Eriksson-Bique, Sylvester, Korte, Riikka, Shanmugalingam, Nageswari: Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality, ADVANCES IN CALCULUS OF VARIATIONS. 14(2), 2021, p. 231-245. [BibTeX...]

2019

Kinnunen, Juha, Korte, Riikka, Lehrbäck, Juha, Vähäkangas, Antti V.: A maximal Function Approach to Two-Measure Poincaré Inequalities, JOURNAL OF GEOMETRIC ANALYSIS. 29(2), 2019, p. 1763–1810. [BibTeX...]

Korte, Riikka, Lehtelä, Pekka, Sturm, Stefan: Lower semicontinuous obstacles for the porous medium equation, Journal of Differential Equations. 266(4), 2019, p. 1851-1864. [BibTeX...]

Korte, Riikka, Lahti, Panu, Shanmugalingam, Nageswari, Li, Xining: Notions of Dirichlet problem for functions of least gradient in metric measure spaces, Revista Matematica Iberoamericana. 35(6), 2019, p. 1603–1648. [BibTeX...]

Bögelein, Verena, Duzaar, Frank, Korte, Riikka, Scheven, Christoph: The higher integrability of weak solutions of porous medium systems, Advances in Nonlinear Analysis. 8(1), 2019, p. 1004–1034. [BibTeX...]

2018

Dafni, Galia, Hytönen, Tuomas, Korte, Riikka, Yue, Hong: The space JNp Nontriviality and duality, JOURNAL OF FUNCTIONAL ANALYSIS. 275(3), 2018, p. 577-603. [BibTeX...]

2017

Björn, Anders, Björn, Jana, Korte, Riikka: Minima of quasisuperminimizers, NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS. 155, 2017, p. 264-284. [BibTeX...]

2016

Korte, Riikka, Marola, Niko, Saari, Olli: Homeomorphisms of the Heisenberg group preserving BMO, ARCHIV DER MATHEMATIK. 106(2), 2016, p. 175-182. [BibTeX...]

2015

Kinnunen, Juha, Korte, Riikka, Marola, Niko, Shanmugalingam, Nageswari: A characterization of BMO self-maps of a metric measure space, Collectanea Mathematica. 66(3), 2015, p. 405-421. [BibTeX...]

Korte, Riikka, Lahti, Panu, Shanmugalingam, Nageswari: Semmes family of curves and a characterization of functions of bounded variation in terms of curves, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 54(2), 2015, p. 1393-1424. [BibTeX...]

Ihnatsyeva, Lizaveta, Korte, Riikka: Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space, MATHEMATISCHE NACHRICHTEN. 288(11-12), 2015, p. 1303-1316. [BibTeX...]

Hakkarainen, Heikki, Korte, Riikka, Lahti, Panu, Shanmugalingam, Nageswari: Stability and Continuity of Functions of Least Gradient, ANALYSIS AND GEOMETRY IN METRIC SPACES. 3(1), 2015, p. 123-139. [BibTeX...]

2014

Korte, Riikka, Lahti, Panu: Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces, ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. 31(1), 2014, p. 129-154. [BibTeX...]

Kinnunen, Juha, Korte, Riikka, Shanmugalingam, Nageswari, Tuominen, Heli: Pointwise properties of functions of bounded variation in metric spaces, REVISTA MATEMATICA COMPLUTENSE. 27(1), 2014, p. 41-67. [BibTeX...]

2013

Kinnunen, Juha, Korte, Riikka, Lorent, Andrew, Shanmugalingam, Nageswari: Regularity of sets with quasiminimal boundary surfaces in metric spaces, JOURNAL OF GEOMETRIC ANALYSIS. 23(4), 2013, p. 1607-1640. [BibTeX...]

Kinnunen, Juha, Korte, Riikka, Kuusi, Tuomo, Parviainen, Mikko: Nonlinear parabolic capacity and polar sets of superparabolic functions, MATHEMATISCHE ANNALEN. 355(4), 2013, p. 1349-13831. [BibTeX...]

2012

Kinnunen, Juha, Korte, Riikka, Shanmugalingam, Nageswari, Tuominen, Heli: A characterization of Newtonian functions with zero boundary values, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 43(3), 2012, p. 507-528. [BibTeX...]

2010

Kinnunen, Juha, Korte, Riikka, Shanmugalingam, Nageswari, Tuominen, Heli: The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. 93(6), 2010, p. 599-622. [BibTeX...]

Korte, Riikka, Kuusi, Tuomo: A note on the Wolff potential estimate for solutions to elliptic equations involving measures, ADVANCES IN CALCULUS OF VARIATIONS. 3(1), 2010, p. 99-113. [BibTeX...]

Korte, Riikka, Shanmugalingam, Nageswari: Equivalence and self-improvement of p-fatness and Hardy's inequality, and association with uniform perfectness, MATHEMATISCHE ZEITSCHRIFT. 264(1), 2010, p. 99-110. [BibTeX...]

Korte, Riikka, Kuusi, Tuomo, Parviainen, Mikko: A connection between a general class of superparabolic functions and supersolutions, JOURNAL OF EVOLUTION EQUATIONS. 10(1), 2010, p. 1-20. [BibTeX...]

Kinnunen, Juha, Korte, Riikka: Characterizations for the Hardy inequality, International Mathematical Series . 11, 2010, p. 239-254. [BibTeX...]

2009

Korte, Riikka, Kuusi, Tuomo, Siljander, Juhana: Obstacle problem for nonlinear parabolic equations, Journal of Differential Equations. 246(9), 2009, p. 3668-3680. [BibTeX...]

2008

Kinnunen, Juha, Korte, Riikka: Characterizations of Sobolev inequalities on metric spaces, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 344(2), 2008, p. 1093-1104. [BibTeX...]

Korte, Riikka: Geometric properties of metric measure spaces and Sobolev-type inequalities, 2008. [BibTeX...]

Korte, Riikka: A Caccioppoli estimate and fine continuity for superminimizers on metric spaces, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. 33(2), 2008, p. 597-604. [BibTeX...]

Korte, Riikka, Maasalo, Outi Elina: Leikki metrisessä avaruudessa kannustaa luovuuteen, ARKHIMEDES. 4, 2008, p. 18-20. [BibTeX...]

Kinnunen, Juha, Korte, Riikka, Shanmugalingam, Nageswari, Tuominen, Heli: Lebesgue points and capacities via boxing inequality in metric spaces, INDIANA UNIVERSITY MATHEMATICS JOURNAL. 57, 2008, p. 401-430. [BibTeX...]

Kinnunen, Juha, Korte, Riikka, Shanmugalingam, Nageswari, Tuominen, Heli: Lebesgue points and capacities via the boxing inequality in metric spaces, INDIANA UNIVERSITY MATHEMATICS JOURNAL. 57(1), 2008, p. 401-430. [BibTeX...]

2007

Korte, Riikka: Geometric implications of the poincare inequality, RESULTS IN MATHEMATICS. 50(1-2), 2007, p. 93-107. [BibTeX...]

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