Björn, Anders; Björn, Jana Sharp Besov capacity estimates for annuli in metric spaces with doubling measures. (English) Zbl 1527.31019 Math. Z. 305, No. 3, Paper No. 41, 26 p. (2023). MSC: 31C45 30L99 31E05 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, Math. Z. 305, No. 3, Paper No. 41, 26 p. (2023; Zbl 1527.31019) Full Text: DOI arXiv OA License
Björn, Anders; Björn, Jana; Latvala, Visa The Dirichlet problem for \(p\)-minimizers on finely open sets in metric spaces. (English) Zbl 1527.31020 Potential Anal. 59, No. 3, 1117-1140 (2023); correction ibid. 59, No. 4, 2131-2132 (2023). MSC: 31E05 30L99 31C40 PDFBibTeX XMLCite \textit{A. Björn} et al., Potential Anal. 59, No. 3, 1117--1140 (2023; Zbl 1527.31020) Full Text: DOI arXiv OA License
Björn, Anders; Björn, Jana; Lehrbäck, Juha Volume growth, capacity estimates, \(p\)-parabolicity and sharp integrability properties of \(p\)-harmonic Green functions. (English) Zbl 1523.30075 J. Anal. Math. 150, No. 1, 159-214 (2023). MSC: 30L99 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Anal. Math. 150, No. 1, 159--214 (2023; Zbl 1523.30075) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Lahti, Panu Removable sets for Newtonian Sobolev spaces and a characterization of \(p\)-path almost open sets. (English) Zbl 1521.30073 Rev. Mat. Iberoam. 39, No. 3, 1143-1180 (2023). MSC: 30L15 30L99 46E35 PDFBibTeX XMLCite \textit{A. Björn} et al., Rev. Mat. Iberoam. 39, No. 3, 1143--1180 (2023; Zbl 1521.30073) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Latvala, Visa Convergence and local-to-global results for \(p\)-superminimizers on quasiopen sets. (English) Zbl 1516.31028 J. Differ. Equations 365, 812-831 (2023). MSC: 31E05 30L99 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Differ. Equations 365, 812--831 (2023; Zbl 1516.31028) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari Classification of metric measure spaces and their ends using \(p\)-harmonic functions. (English) Zbl 1503.31021 Ann. Fenn. Math. 47, No. 2, 1025-1052 (2022). MSC: 31E05 30L99 PDFBibTeX XMLCite \textit{A. Björn} et al., Ann. Fenn. Math. 47, No. 2, 1025--1052 (2022; Zbl 1503.31021) Full Text: DOI arXiv
Björn, Anders Removable singularities for bounded \(\mathcal{A} \)-(super)harmonic and quasi(super)harmonic functions on weighted \(\mathbf{R}^n\). (English) Zbl 1495.31022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112907, 16 p. (2022). MSC: 31C45 31E05 35J92 PDFBibTeX XMLCite \textit{A. Björn}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112907, 16 p. (2022; Zbl 1495.31022) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Mwasa, Abubakar Resolutivity and invariance for the Perron method for degenerate equations of divergence type. (English) Zbl 1483.35097 J. Math. Anal. Appl. 509, No. 1, Article ID 125937, 14 p. (2022). MSC: 35J70 35J62 35J25 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Math. Anal. Appl. 509, No. 1, Article ID 125937, 14 p. (2022; Zbl 1483.35097) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari Bounded geometry and \(p\)-harmonic functions under uniformization and hyperbolization. (English) Zbl 1466.53048 J. Geom. Anal. 31, No. 5, 5259-5308 (2021). MSC: 53C23 30F10 30L10 30L99 31E05 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Geom. Anal. 31, No. 5, 5259--5308 (2021; Zbl 1466.53048) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy. (English) Zbl 1456.35055 Math. Z. 297, No. 1-2, 827-854 (2021). MSC: 35B53 30L15 31E05 31C45 35J20 35J92 46E36 49Q20 30D40 PDFBibTeX XMLCite \textit{A. Björn} et al., Math. Z. 297, No. 1--2, 827--854 (2021; Zbl 1456.35055) Full Text: DOI arXiv
Björn, Anders; Björn, Jana A uniqueness result for functions with zero fine gradient on quasiconnected and finely connected sets. (English) Zbl 1472.31013 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 293-301 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 31C40 31C45 31E05 46E35 46E36 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 293--301 (2020; Zbl 1472.31013) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Lehrbäck, Juha Existence and almost uniqueness for \(p\)-harmonic Green functions on bounded domains in metric spaces. (English) Zbl 1441.31008 J. Differ. Equations 269, No. 9, 6602-6640 (2020). MSC: 31C45 30L99 31C12 31C15 31E05 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Differ. Equations 269, No. 9, 6602--6640 (2020; Zbl 1441.31008) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Mirumbe, Ismail The quasisuperminimizing constant for the minimum of two quasisuperminimizers in \(R^n\). (English) Zbl 1456.31010 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 215-225 (2020). Reviewer: Peter Lindqvist (Trondheim) MSC: 31C45 35J60 PDFBibTeX XMLCite \textit{A. Björn} et al., Ann. Acad. Sci. Fenn., Math. 45, No. 1, 215--225 (2020; Zbl 1456.31010) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari Locally \(p\)-admissible measures on \(\mathbf{R}\). (English) Zbl 1431.26012 J. Funct. Anal. 278, No. 4, Article ID 108344, 17 p. (2020). MSC: 26D10 31C45 42B25 46E35 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Funct. Anal. 278, No. 4, Article ID 108344, 17 p. (2020; Zbl 1431.26012) Full Text: DOI arXiv
Björn, Anders; Hansevi, Daniel Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces. (English) Zbl 1436.31032 Anal. Geom. Metr. Spaces 7, 179-196 (2019). MSC: 31E05 30L99 35J66 35J92 49Q20 PDFBibTeX XMLCite \textit{A. Björn} and \textit{D. Hansevi}, Anal. Geom. Metr. Spaces 7, 179--196 (2019; Zbl 1436.31032) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Parviainen, Mikko The tusk condition and Petrovskiĭ criterion for the normalized \(p\)-parabolic equation. (English) Zbl 1444.35099 J. Lond. Math. Soc., II. Ser. 100, No. 2, 623-643 (2019). MSC: 35K55 35K61 35B30 35B51 35D40 35K92 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Lond. Math. Soc., II. Ser. 100, No. 2, 623--643 (2019; Zbl 1444.35099) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Li, Xining Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces. (English) Zbl 1417.30056 J. Math. Anal. Appl. 474, No. 2, 852-875 (2019). MSC: 30L99 31B30 31B15 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Math. Anal. Appl. 474, No. 2, 852--875 (2019; Zbl 1417.30056) Full Text: DOI arXiv
Björn, Anders The Kellogg property and boundary regularity for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary and other compactifications. (English) Zbl 1406.31002 Complex Var. Elliptic Equ. 64, No. 1, 40-63 (2019); correction ibid. 64, No. 10, 1756-1757 (2019). MSC: 31C45 31E05 35J66 35J92 49Q20 PDFBibTeX XMLCite \textit{A. Björn}, Complex Var. Elliptic Equ. 64, No. 1, 40--63 (2019; Zbl 1406.31002) Full Text: DOI arXiv
Björn, Anders; Björn, Jana Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces. (English) Zbl 1420.31002 J. Differ. Equations 266, No. 1, 44-69 (2019); corrigendum ibid. 285, 493-495 (2021). MSC: 31E05 30L99 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, J. Differ. Equations 266, No. 1, 44--69 (2019; Zbl 1420.31002) Full Text: DOI arXiv
Björn, Anders; Björn, Jana Tensor products and sums of \(p\)-harmonic functions, quasiminimizers and \(p\)-admissible weights. (English) Zbl 1407.31005 Proc. Am. Math. Soc. 146, No. 12, 5195-5203 (2018). Reviewer: Olli Martio (Helsinki) MSC: 31C45 35J60 46E35 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, Proc. Am. Math. Soc. 146, No. 12, 5195--5203 (2018; Zbl 1407.31005) Full Text: DOI arXiv
Björn, Anders; Björn, Jana Local and semilocal Poincaré inequalities on metric spaces. (English. French summary) Zbl 1407.31006 J. Math. Pures Appl. (9) 119, 158-192 (2018). Reviewer: Thomas Zürcher (Katowice) MSC: 31E05 30L99 31C45 35J60 46E35 26D10 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, J. Math. Pures Appl. (9) 119, 158--192 (2018; Zbl 1407.31006) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Gianazza, Ugo; Siljander, Juhana Boundary regularity for the porous medium equation. (English) Zbl 06941733 Arch. Ration. Mech. Anal. 230, No. 2, 493-538 (2018). MSC: 35Q35 76S05 35B65 35K55 PDFBibTeX XMLCite \textit{A. Björn} et al., Arch. Ration. Mech. Anal. 230, No. 2, 493--538 (2018; Zbl 06941733) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Latvala, Visa The Cartan, Choquet and Kellogg properties for the fine topology on metric spaces. (English) Zbl 1405.31013 J. Anal. Math. 135, No. 1, 59-83 (2018). Reviewer: Olli Martio (Helsinki) MSC: 31E05 31C05 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Anal. Math. 135, No. 1, 59--83 (2018; Zbl 1405.31013) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Lehrbäck, Juha Sharp capacity estimates for annuli in weighted \(\mathbf {R}^n\) and in metric spaces. (English) Zbl 1394.31007 Math. Z. 286, No. 3-4, 1173-1215 (2017). Reviewer: René L. Schilling (Dresden) MSC: 31E05 30L99 31C15 31C45 PDFBibTeX XMLCite \textit{A. Björn} et al., Math. Z. 286, No. 3--4, 1173--1215 (2017; Zbl 1394.31007) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Gianazza, Ugo The Petrovskiĭ criterion and barriers for degenerate and singular \(p\)-parabolic equations. (English) Zbl 1387.35376 Math. Ann. 368, No. 3-4, 885-904 (2017). Reviewer: Wu Qiguang (Beijing) MSC: 35K61 35B65 35K20 35K65 35K67 35K92 PDFBibTeX XMLCite \textit{A. Björn} et al., Math. Ann. 368, No. 3--4, 885--904 (2017; Zbl 1387.35376) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Lehrbäck, Juha The annular decay property and capacity estimates for thin annuli. (English) Zbl 1375.31017 Collect. Math. 68, No. 2, 229-241 (2017). Reviewer: Vyron Vellis (Storrs) MSC: 31E05 30L99 31C15 31C45 PDFBibTeX XMLCite \textit{A. Björn} et al., Collect. Math. 68, No. 2, 229--241 (2017; Zbl 1375.31017) Full Text: DOI arXiv Link
Björn, Anders; Björn, Jana; Gill, James T.; Shanmugalingam, Nageswari Geometric analysis on Cantor sets and trees. (English) Zbl 1376.46025 J. Reine Angew. Math. 725, 63-114 (2017). Reviewer: Thomas Zürcher (Katowice) MSC: 46E35 30L99 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Reine Angew. Math. 725, 63--114 (2017; Zbl 1376.46025) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Malý, Jan Quasiopen and \(p\)-path open sets, and characterizations of quasicontinuity. (English) Zbl 1375.31018 Potential Anal. 46, No. 1, 181-199 (2017). Reviewer: Mihai Putinar (Santa Barbara) MSC: 31E05 28A05 30L99 31C15 PDFBibTeX XMLCite \textit{A. Björn} et al., Potential Anal. 46, No. 1, 181--199 (2017; Zbl 1375.31018) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Latvala, Visa Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets. (English) Zbl 1359.46029 Ann. Acad. Sci. Fenn., Math. 41, No. 2, 551-560 (2016). Reviewer: Thomas Zürcher (Coventry) MSC: 46E35 30L99 31C40 31C45 31E05 PDFBibTeX XMLCite \textit{A. Björn} et al., Ann. Acad. Sci. Fenn., Math. 41, No. 2, 551--560 (2016; Zbl 1359.46029) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari The Mazurkiewicz distance and sets that are finitely connected at the boundary. (English) Zbl 1342.30054 J. Geom. Anal. 26, No. 2, 873-897 (2016). MSC: 30L99 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Geom. Anal. 26, No. 2, 873--897 (2016; Zbl 1342.30054) Full Text: DOI arXiv
Arnlind, Joakim; Björn, Anders; Björn, Jana An axiomatic approach to gradients with applications to Dirichlet and obstacle problems beyond function spaces. (English) Zbl 1344.49006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 134, 70-104 (2016). MSC: 49J27 49R05 49Q20 46E35 46L51 46L52 46E40 31E05 35J50 35J66 PDFBibTeX XMLCite \textit{J. Arnlind} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 134, 70--104 (2016; Zbl 1344.49006) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities. (English) Zbl 1341.31009 J. Differ. Equations 259, No. 7, 3078-3114 (2015). Reviewer: Haibo Lin (Beijing) MSC: 31E05 30L99 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Differ. Equations 259, No. 7, 3078--3114 (2015; Zbl 1341.31009) Full Text: DOI arXiv
Björn, Anders; Björn, Jana Obstacle and Dirichlet problems on arbitrary nonopen sets in metric spaces, and fine topology. (English) Zbl 1311.31006 Rev. Mat. Iberoam. 31, No. 1, 161-214 (2015). MSC: 31E05 31A30 31B30 31C40 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, Rev. Mat. Iberoam. 31, No. 1, 161--214 (2015; Zbl 1311.31006) Full Text: DOI arXiv
Björn, Anders; Björn, Jana; Gianazza, Ugo; Parviainen, Mikko Boundary regularity for degenerate and singular parabolic equations. (English) Zbl 1333.35087 Calc. Var. Partial Differ. Equ. 52, No. 3-4, 797-827 (2015). Reviewer: Peter Lindqvist (Trondheim) MSC: 35K20 31B25 35B65 35K65 35K67 35K92 PDFBibTeX XMLCite \textit{A. Björn} et al., Calc. Var. Partial Differ. Equ. 52, No. 3--4, 797--827 (2015; Zbl 1333.35087) Full Text: DOI arXiv
Björn, Anders The Dirichlet problem for \(p\)-harmonic functions on the topologist’s comb. (English) Zbl 1308.31008 Math. Z. 279, No. 1-2, 389-405 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 31B30 31C45 35J66 PDFBibTeX XMLCite \textit{A. Björn}, Math. Z. 279, No. 1--2, 389--405 (2015; Zbl 1308.31008) Full Text: DOI arXiv
Adamowicz, Tomasz; Björn, Anders; Björn, Jana Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points. (English) Zbl 1304.35296 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1131-1153 (2014). MSC: 35J67 31C45 PDFBibTeX XMLCite \textit{T. Adamowicz} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1131--1153 (2014; Zbl 1304.35296) Full Text: DOI arXiv
Björn, Anders; Björn, Jana The variational capacity with respect to nonopen sets in metric spaces. (English) Zbl 1319.31013 Potential Anal. 40, No. 1, 57-80 (2014). MSC: 31E05 31C40 31C45 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, Potential Anal. 40, No. 1, 57--80 (2014; Zbl 1319.31013) Full Text: DOI arXiv
Adamowicz, Tomasz; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari Prime ends for domains in metric spaces. (English) Zbl 1297.30056 Adv. Math. 238, 459-505 (2013). Reviewer: K. T. Hallenbeck (Chester) MSC: 30D40 PDFBibTeX XMLCite \textit{T. Adamowicz} et al., Adv. Math. 238, 459--505 (2013; Zbl 1297.30056) Full Text: DOI arXiv
Björn, Anders Cluster sets for Sobolev functions and quasiminimizers. (English) Zbl 1223.31005 J. Anal. Math. 112, 49-77 (2010). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 31C45 PDFBibTeX XMLCite \textit{A. Björn}, J. Anal. Math. 112, 49--77 (2010; Zbl 1223.31005) Full Text: DOI
Björn, Anders; Björn, Jana; Marola, Niko BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers. (English) Zbl 1219.49003 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 6, 1489-1505 (2010). MSC: 49J20 30L99 31C45 31E05 35J20 49J27 PDFBibTeX XMLCite \textit{A. Björn} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 6, 1489--1505 (2010; Zbl 1219.49003) Full Text: DOI
Björn, Anders \(p\)-harmonic functions with boundary data having jump discontinuities and Baernstein’s problem. (English) Zbl 1198.31006 J. Differ. Equations 249, No. 1, 1-36 (2010). Reviewer: Konstantin Malyutin (Sumy) MSC: 31C45 31E05 35J60 PDFBibTeX XMLCite \textit{A. Björn}, J. Differ. Equations 249, No. 1, 1--36 (2010; Zbl 1198.31006) Full Text: DOI
Björn, Anders; Björn, Jana; Parviainen, Mikko Lebesgue points and the fundamental convergence theorem for superharmonic functions on metric spaces. (English) Zbl 1203.31018 Rev. Mat. Iberoam. 26, No. 1, 147-174 (2010). Reviewer: Riikka Korte (Helsinki) MSC: 31E05 31C05 31C45 35J60 PDFBibTeX XMLCite \textit{A. Björn} et al., Rev. Mat. Iberoam. 26, No. 1, 147--174 (2010; Zbl 1203.31018) Full Text: DOI Euclid
Björn, Anders; Björn, Jana; Mäkäläinen, Tero; Parviainen, Mikko Nonlinear balayage on metric spaces. (English) Zbl 1166.31004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 2153-2171 (2009). MSC: 31C45 31C05 35J60 PDFBibTeX XMLCite \textit{A. Björn} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 2153--2171 (2009; Zbl 1166.31004) Full Text: DOI
Björn, Anders A regularity classification of boundary points for \(p\)-harmonic functions and quasiminimizers. (English) Zbl 1143.31006 J. Math. Anal. Appl. 338, No. 1, 39-47 (2008). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C45 35J67 PDFBibTeX XMLCite \textit{A. Björn}, J. Math. Anal. Appl. 338, No. 1, 39--47 (2008; Zbl 1143.31006) Full Text: DOI
Björn, Anders Weak barriers in nonlinear potential theory. (English) Zbl 1126.31003 Potential Anal. 27, No. 4, 381-387 (2007). Reviewer: Matti Vuorinen (Turku) MSC: 31C45 35J65 PDFBibTeX XMLCite \textit{A. Björn}, Potential Anal. 27, No. 4, 381--387 (2007; Zbl 1126.31003) Full Text: DOI Link
Björn, Anders Removable singularities for weighted Bergman spaces. (English) Zbl 1164.30303 Czech. Math. J. 56, No. 1, 179-227 (2006). MSC: 30B40 30D60 32A36 32D20 46E10 PDFBibTeX XMLCite \textit{A. Björn}, Czech. Math. J. 56, No. 1, 179--227 (2006; Zbl 1164.30303) Full Text: DOI EuDML Link
Björn, Anders; Björn, Jana Boundary regularity for \(p\)-harmonic functions and solutions of the obstacle problem on metric spaces. (English) Zbl 1211.35109 J. Math. Soc. Japan 58, No. 4, 1211-1232 (2006). MSC: 35J60 31C45 35B65 35J67 46E35 49N60 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, J. Math. Soc. Japan 58, No. 4, 1211--1232 (2006; Zbl 1211.35109) Full Text: DOI Euclid
Björn, Anders; Marola, Niko Moser iteration for (quasi)minimizers on metric spaces. (English) Zbl 1123.49032 Manuscr. Math. 121, No. 3, 339-366 (2006). Reviewer: Werner H. Schmidt (Greifswald) MSC: 49N60 35J60 49J27 31C45 PDFBibTeX XMLCite \textit{A. Björn} and \textit{N. Marola}, Manuscr. Math. 121, No. 3, 339--366 (2006; Zbl 1123.49032) Full Text: DOI Link
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari A problem of Baernstein on the equality of the \(p\)-harmonic measure of a set and its closure. (English) Zbl 1084.31008 Proc. Am. Math. Soc. 134, No. 2, 509-519 (2006). MSC: 31C45 30C85 31A25 31B20 31C15 46E35 PDFBibTeX XMLCite \textit{A. Björn} et al., Proc. Am. Math. Soc. 134, No. 2, 509--519 (2006; Zbl 1084.31008) Full Text: DOI
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari The Perron method for \(p\)-harmonic functions in metric spaces. (English) Zbl 1039.35033 J. Differ. Equations 195, No. 2, 398-429 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 31C45 46E35 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Differ. Equations 195, No. 2, 398--429 (2003; Zbl 1039.35033) Full Text: DOI
Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari The Dirichlet problem for \(p\)-harmonic functions on metric spaces. (English) Zbl 1018.31004 J. Reine Angew. Math. 556, 173-203 (2003). MSC: 31C05 31C45 PDFBibTeX XMLCite \textit{A. Björn} et al., J. Reine Angew. Math. 556, 173--203 (2003; Zbl 1018.31004) Full Text: DOI