Nonlinear PDE research group

• B. Kawohl, J.J. Manfredi and M. Parviainen: Solutions of nonlinear PDEs in the sense of averages, Preprint CVGMT Pisa
• D. Aalto, L. Berkovits, O.E. Maasalo and H. Yue: John-Nirenberg lemmas for a doubling measure, Studia Math., to appear. Preprint (PDF)
• T. Kuusi, J. M. Urbano and J. Siljander: Local Hölder continuity for doubly nonlinear parabolic equations, Indiana Univ. Math. J., to appear. Preprint (PDF)
• R. Korte, J. Lehrbäck and H. Tuominen: The equivalence between pointwise Hardy inequalities and uniform fatness, Math. Ann., to appear. Preprint (PDF)
• L. Diening, P. Hästö and S. Roudenko, Function spaces of variable smoothness and integrability, J. Funct. Anal., to appear. Preprint (PDF) Download from journal
• R. Korte, N. Marola and N. Shanmugalingam: Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property, Ark. Mat., to appear. Preprint (PDF)
• T. Kuusi and G. Mingione: Endpoint and intermediate potential estimates for nonlinear equations, Bollettino U.M.I. (9) IV (2011), 149-157.
• J. Kinnunen, R. Korte, N. Shanmugalingam and H. Tuominen: The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces, J. Math. Pures Appl. 93 (2010), 599-622. Preprint (PDF)
• P. Juutinen, T. Lukkari and M. Parviainen: Equivalence of viscosity and weak solutions for the p(x)-Laplacian, Ann. Inst. H. Poincaré Anal. Non Linéaire 27(6) (2010), 1471-1487. Preprint (PDF)
• J. Kinnunen, T. Lukkari and M. Parviainen: An existence result for superparabolic functions, J. Funct. Anal. 258 (2010), 713-728. Preprint (PDF)
• D. Danielli and N. Garofalo and N. Marola: Local behavior of p-harmonic Green's functions in metric spaces, Potential Anal. 32 (2010), 343-362. Preprint (PDF)
• A. Björn, J. Björn and M. Parviainen: Lebesgue points and the fundamental convergence theorem for superharmonic functions, Rev. Mat. Iberoam., 26 (2010), 147-174. Preprint (PDF)
• J.J. Manfredi, M. Parviainen and J.D. Rossi: An asymptotic mean value characterization for p-harmonic functions Proc. Amer. Math. Soc. 138(3) (2010), 881-889. Preprint (PDF)
• J. Kinnunen and P. Lindqvist: Definition and properties of supersolutions to the porous medium equation, J. Reine Angew. Math. 618 (2008), no. 3, 135-168. Preprint (PDF)
• O.E. Maasalo and A. Zatorska-Goldstein: Stability of quasiminimizers of the p-Dirichlet integral with varying p on metric spaces, J. Lond. Math. Soc.(2) 77 (3) , 771-788, (2008). Preprint (PDF)

Many more publications can be found at the home-pages of the group members, see Group members.