VISA LATVALA

Yliopistonlehtori

Yhteystiedot

Organisaatio

Luonnontieteiden ja metsätieteiden tiedekunta, Fysiikan ja matematiikan laitos

Sähköposti

visa.latvala@uef.fi

Puhelin

050 442 2813

Avainsanat

epälineaarinen potentiaaliteoria hieno topologia metriset avaruudet varioiva eksponentti

Julkaisut

Björn, Anders; Björn, Jana; Latvala, Visa. 2018. The Cartan, Choquet and Kellogg properties for the fine topology on metric spaces Journal d'Analyse Mathématique 135 1: 59-83. 2018
Björn Anders, Björn Jana, Latvala Visa. 2016. Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets. Annales Academiae Scientiarum Fennicae Mathematica 41: 551-560. 2016
Latvala Visa, Toivanen Olli. 2016. Weak Harnack Estimates for Quasiminimizers with Non-Standard Growth and General Structure. Potential Analysis 2017; 47 1: 21-36. 2016
Björn Anders, Björn Jana, Latvala Visa. 2015. The weak Cartan property for the p-fine topology on metric spaces. Indiana University Mathematics Journal 64 3: 915-941. 2015
Harjulehto Petteri, Hästö Peter, Latvala Visa, Toivanen Olli. 2013. Critical variable exponent functionals in image restoration. Applied Mathematics Letters 26 1: 56-60. 2013
Harjulehto Petteri, Latvala Visa, Toivanen Olli. 2013. A variant of the Geman-McClure model for image restoration. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 399 2: 676-681. 2013
Harjulehto Petteri, Hästö Peter, Latvala Visa, Toivanen Olli. 2011. The strong minimum principle for quasisuperminimizers of non-standard growth Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 28 5: 731-742. 2011
Harjulehto Petteri, Hästö Peter, Latvala Visa. 2011. Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 56 7-9: 643-657. 2011
Latvala Visa, Lukkari Teemu, Toivanen Olli. 2011. The Fundamental Convergence Theorem for p(x)-Superharmonic Functions Potential Analysis 35 4: 329-351. 2011
Juha Kinnunen, Marko Kotilainen, Visa Latvala. 2010. Hardy-Littlewood type gradient estimates for quasiminimizers. Bollettino dell'Unione Matematica Italiana III: 125-136. 2010
Petteri Harjulehto, Peter Hästö, Visa Latvala. 2009. Harnack's inequality for p(.)-harmonic functions with unbounded exponent p. Journal of Mathematical Analysis and Applications 352 1: 345-359. 2009
Marko Kotilainen, Visa Latvala, and Jouni Rättyä. 2008. Carleson measures and conformal self-mappings in the real unit ball Mathematische Nachrichten 281 11: 1582-1589. 2008
Petteri Harjulehto and Visa Latvala. 2008. Fine topology of variable exponent energy superminimizers. Annales Academiae Scientiarum Fennicae. Mathematica 33 2: 491-510. 2008
Petteri Harjulehto, Peter Hästö, Visa Latvala. 2008. Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Journal de mathématiques pures et appliquées 89 2: 174-197. 2008
Sirkka-Liisa Eriksson, Marko Kotilainen, Visa Latvala. 2007. Hyperbolic harmonic functions: weak approach with applications in function spaces. Advances in Applied Clifford Algebras 17 3: 425-436. 2007
Petteri Harjulehto, Peter Hästö, Visa Latvala. 2006. Sobolev embeddings in metric measure spaces with variable dimension. Mathematische Zeitschrift 254 3: 591-609. 2006
Visa Latvala, Niko Marola, Mikko Pere. 2006. Harnack's inequality for a nonlinear eigenvalue problem on metric spaces. Journal of Mathematical Analysis and Applications 321 2: 793-810. 2006
Marko Kotilainen, Visa Latvala, Jie Xiao. 2005. Bloch-Sobolev spaces and analytic composition operators. Computational Methods and Function Theory 5 2: 381-393. 2005
Petteri Harjulehto, Peter Hästö, Visa Latvala. 2004. Lebesgue points in variable exponent Sobolev spaces on metric measure spaces, Complex Analysis and Free Boundary Flows. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine. 87-99. 2004
Symposium on Complex Differential and Functional Equations. Rauno Aulaskari, Janne Heittokangas, Visa Latvala, Jari Taskinen (eds.). 2004 2004
Visa Latvala. 2004. A strong Lebesgue point property for Sobolev functions. Proceedings of the American Mathematical Society 132 8: 2331-2338. 2004
Visa Latvala. 2004. BMO-invariance of quasiminimizers Annales Academiae Scientiarum Fennicae. Mathematica 29 2: 407-418. 2004
Juha Kinnunen, Visa Latvala. 2003. Fine regularity of superharmonic functions on metric spaces: David Herron, Future trends in geometric function theory: RNC workshop Jyväskylä 2003. University of Jyväskylä, Department of Mathematics and Statistics. Report. 157-167. 2003
Visa Latvala, Pekka Smolander. 2003. Modulaarisista laskutaulukoista Solmu 2: 7-11. 2003
Visa Latvala. 2003. Continuity of weak solutions of elliptic partial differential equations. Arkiv för matematik 41 1: 95-104. 2003
Juha Kinnunen, Visa Latvala. 2002. Lebesgue points for Sobolev functions on metric spaces. Revista matemática iberoamericana 18: 685-700. 2002
Visa Latvala. 2002. On Lebesgue points of functions in the Sobolev class W[sup 1,n]. Annales Academiae Scientiarum Fennicae. Mathematica 27 1: 205-213. 2002
Visa Latvala. 2000. A theorem on fine connectedness. Potential Analysis 12 3: 221-232. 2000

Opetustehtävät

Opetushistoria sisältää kursseja matemaattisessa analyysissä, algebrassa, geometriassa, lukuteoriassa, todennäköisyyslaskennassa ja topologiassa. Tänä päivänä opetus perustuu paljolti käänteisen oppimisen hyödyntämiseen algebran ja analyysiin kursseilla.

Tutkimusryhmät ja -projektit

Tutkimuksen pääpaino on epälineaarisen potentiaaliteorian säännöllisyysmetodeissa ja hienossa topologiassa metrisissä avaruuksissa ja varioivan eksponentin avaruuksissa.