Visa Latvala

The Perron Method Associated with Finely p-harmonic Functions on Finely Open Sets

Bjorn, Anders; Bjorn, Jana; Latvala, Visa. 2025. Potential analysis. [Epub ahead of print 23 Jan 2025]: 1-25 A1 Journal article (refereed), original research

Convergence and local-to-global results for p-superminimizers on quasiopen sets

Björn, Anders; Björn, Jana; Latvala, Visa. 2023. Journal of differential equations. 365: 812-831 A1 Journal article (refereed), original research

The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces

Björn, Anders; Björn, Jana; Latvala, Visa. 2022. Potential analysis. [Published: 09 May 2022]: 1-24 A1 Journal article (refereed), original research

The Cartan, Choquet and Kellogg properties for the fine topology on metric spaces

Björn, Anders; Björn, Jana; Latvala, Visa. 2018. Journal d analyse mathematique. 135: 59-83 A1 Journal article (refereed), original research

Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets

Björn Anders, Björn Jana, Latvala Visa. 2016. Annales academiae scientiarum fennicae-mathematica. 41: 551-560 A1 Journal article (refereed), original research

Weak Harnack Estimates for Quasiminimizers with Non-Standard Growth and General Structure

Latvala Visa, Toivanen Olli. 2016. Potential analysis. 2017; 47: 21-36 A1 Journal article (refereed), original research

Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian

Harjulehto Petteri, Hästö Peter, Latvala Visa. 2011. Complex variables and elliptic equations. 56: 643-657 A1 Journal article (refereed), original research

The Fundamental Convergence Theorem for p(x)-Superharmonic Functions

Latvala Visa, Lukkari Teemu, Toivanen Olli. 2011. Potential analysis. 35: 329-351 A1 Journal article (refereed), original research

The strong minimum principle for quasisuperminimizers of non-standard growth

Harjulehto Petteri, Hästö Peter, Latvala Visa, Toivanen Olli. 2011. Annales de l’Institut Henri Poincaré : analyse non linéaire. 28: 731-742 A1 Journal article (refereed), original research

Hardy-Littlewood type gradient estimates for quasiminimizers

Juha Kinnunen, Marko Kotilainen, Visa Latvala. 2010. Bolletino dellunione matematica italiana: articoli di ricerca matematica. III: 125-136 A1 Journal article (refereed), original research

Harnack's inequality for p(.)-harmonic functions with unbounded exponent p

Petteri Harjulehto, Peter Hästö, Visa Latvala. 2009. Journal of mathematical analysis and applications. 352: 345-359 A1 Journal article (refereed), original research

Carleson measures and conformal self-mappings in the real unit ball

Marko Kotilainen, Visa Latvala, and Jouni Rättyä. 2008. Mathematische nachrichten. 281: 1582-1589 A1 Journal article (refereed), original research

Fine topology of variable exponent energy superminimizers

Petteri Harjulehto and Visa Latvala. 2008. Annales academiae scientiarum fennicae-mathematica. 33: 491-510 A1 Journal article (refereed), original research

Minimizers of the variable exponent, non-uniformly convex Dirichlet energy

Petteri Harjulehto, Peter Hästö, Visa Latvala. 2008. Journal de mathématiques pures et appliquées. 89: 174-197 A1 Journal article (refereed), original research

Hyperbolic harmonic functions: weak approach with applications in function spaces

Sirkka-Liisa Eriksson, Marko Kotilainen, Visa Latvala. 2007. Advances in Applied Clifford Algebras. 17: 425-436 A1 Journal article (refereed), original research

Harnack's inequality for a nonlinear eigenvalue problem on metric spaces

Visa Latvala, Niko Marola, Mikko Pere. 2006. Journal of mathematical analysis and applications. 321: 793-810 A1 Journal article (refereed), original research

Sobolev embeddings in metric measure spaces with variable dimension

Petteri Harjulehto, Peter Hästö, Visa Latvala. 2006. Mathematische zeitschrift. 254: 591-609 A1 Journal article (refereed), original research

Bloch-Sobolev spaces and analytic composition operators

Marko Kotilainen, Visa Latvala, Jie Xiao. 2005. Computational methods and function theory. 5: 381-393 A1 Journal article (refereed), original research

Puhumispakko matematiikan demonstraatioissa

Visa Latvala. Teoksessa: Matti Meriläinen (toim.)(toim.) , 2005. Kehittämishankkeista pysyviksi käytännöiksi? Yliopisto-opettajan pedagogisten perusopintojen Opetuksen ja opettajuuden kehittämishankkeiden" satoa 2003-2004". s. 77-84. Joensuun yliopisto, Kasvatustieteiden tiedekunta B2 Book section

A strong Lebesgue point property for Sobolev functions

Visa Latvala. 2004. Proceedings of the American Mathematical Society. 132: 2331-2338 A1 Journal article (refereed), original research

BMO-invariance of quasiminimizers

Visa Latvala. 2004. Annales academiae scientiarum fennicae-mathematica. 29: 407-418 A1 Journal article (refereed), original research

Lebesgue points in variable exponent Sobolev spaces on metric measure spaces

Petteri Harjulehto, Peter Hästö, Visa Latvala. Teoksessa: (toim.) , 2004. Complex Analysis and Free Boundary Flows. s. 87-99. A3 Book section, Chapters in research books

Symposium on Complex Differential and Functional Equations

Rauno Aulaskari, Janne Heittokangas, Visa Latvala, Jari Taskinen (eds.). 2004. University of Joensuu, Department of Mathematics. Report Series. . Joensuun yliopisto C2 Edited book, conference proceedings or special issue of a journal

Continuity of weak solutions of elliptic partial differential equations

Visa Latvala. 2003. Arkiv för matematik. 41: 95-104 A1 Journal article (refereed), original research

Fine regularity of superharmonic functions on metric spaces

Juha Kinnunen, Visa Latvala. Teoksessa: David Herron(toim.) , 2003. Future trends in geometric function theory: RNC workshop Jyväskylä 2003. s. 157-167. A4 Conference proceedings

Modulaarisista laskutaulukoista

Visa Latvala, Pekka Smolander. 2003. Solmu. : 7-11 E1 Popularised article, newspaper article

Lebesgue points for Sobolev functions on metric spaces

Juha Kinnunen, Visa Latvala. 2002. Revista matemática iberoamericana. 18: 685-700 A1 Journal article (refereed), original research

On Lebesgue points of functions in the Sobolev class W[sup 1,n]

Visa Latvala. 2002. Annales academiae scientiarum fennicae-mathematica. 27: 205-213 A1 Journal article (refereed), original research

A theorem on fine connectedness

Visa Latvala. 2000. Potential analysis. 12: 221-232 A1 Journal article (refereed), original research

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Publications

The Perron Method Associated with Finely p-harmonic Functions on Finely Open Sets

Convergence and local-to-global results for p-superminimizers on quasiopen sets

The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces

The Cartan, Choquet and Kellogg properties for the fine topology on metric spaces

Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets

Weak Harnack Estimates for Quasiminimizers with Non-Standard Growth and General Structure

The weak Cartan property for the p-fine topology on metric spaces

A variant of the Geman-McClure model for image restoration

Critical variable exponent functionals in image restoration

Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian

The Fundamental Convergence Theorem for p(x)-Superharmonic Functions

The strong minimum principle for quasisuperminimizers of non-standard growth

Hardy-Littlewood type gradient estimates for quasiminimizers

Harnack's inequality for p(.)-harmonic functions with unbounded exponent p

Carleson measures and conformal self-mappings in the real unit ball

Fine topology of variable exponent energy superminimizers

Minimizers of the variable exponent, non-uniformly convex Dirichlet energy

Hyperbolic harmonic functions: weak approach with applications in function spaces

Harnack's inequality for a nonlinear eigenvalue problem on metric spaces

Sobolev embeddings in metric measure spaces with variable dimension

Bloch-Sobolev spaces and analytic composition operators

Puhumispakko matematiikan demonstraatioissa

A strong Lebesgue point property for Sobolev functions

BMO-invariance of quasiminimizers

Lebesgue points in variable exponent Sobolev spaces on metric measure spaces

Symposium on Complex Differential and Functional Equations

Continuity of weak solutions of elliptic partial differential equations

Fine regularity of superharmonic functions on metric spaces

Modulaarisista laskutaulukoista

Lebesgue points for Sobolev functions on metric spaces

On Lebesgue points of functions in the Sobolev class W[sup 1,n]

A theorem on fine connectedness