Selmi, Bilel Projection estimates for the lower Hewitt-Stromberg dimension. (English) Zbl 07811195 Real Anal. Exch. 49, No. 1, 67-86 (2024). MSC: 28A20 28A75 28A78 28A80 49Q15 PDFBibTeX XMLCite \textit{B. Selmi}, Real Anal. Exch. 49, No. 1, 67--86 (2024; Zbl 07811195) Full Text: DOI Link
Selmi, Bilel Subsets of positive and finite \(\Psi_t\)-Hausdorff measures and applications. (English) Zbl 07796595 J. Geom. Anal. 34, No. 3, Paper No. 79, 16 p. (2024). MSC: 28A20 28A75 28A78 28A80 49Q15 PDFBibTeX XMLCite \textit{B. Selmi}, J. Geom. Anal. 34, No. 3, Paper No. 79, 16 p. (2024; Zbl 07796595) Full Text: DOI
Selmi, Bilel; Yuan, Zhihui On the multifractal measures: proportionality and dimensions of Moran sets. (English) Zbl 07783228 Rend. Circ. Mat. Palermo (2) 72, No. 8, 3949-3969 (2023). Reviewer: Anouar Ben Mabrouk (Monastir) MSC: 28A20 28A75 28A78 28A80 49Q15 PDFBibTeX XMLCite \textit{B. Selmi} and \textit{Z. Yuan}, Rend. Circ. Mat. Palermo (2) 72, No. 8, 3949--3969 (2023; Zbl 07783228) Full Text: DOI
Magnabosco, Mattia; Rigoni, Chiara; Sosa, Gerardo Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter. (English) Zbl 1527.53038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113366, 48 p. (2023). MSC: 53C23 49Q15 PDFBibTeX XMLCite \textit{M. Magnabosco} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113366, 48 p. (2023; Zbl 1527.53038) Full Text: DOI arXiv
Shmerkin, Pablo A non-linear version of Bourgain’s projection theorem. (English) Zbl 07757003 J. Eur. Math. Soc. (JEMS) 25, No. 10, 4155-4204 (2023). MSC: 28A75 28A80 05D99 26A16 49Q15 PDFBibTeX XMLCite \textit{P. Shmerkin}, J. Eur. Math. Soc. (JEMS) 25, No. 10, 4155--4204 (2023; Zbl 07757003) Full Text: DOI arXiv
Mabrouk, Anouar Ben; Douzi, Zied; Selmi, Bilel The \(\phi\)-topological conformal dimension for the Sierpinski carpet. (English) Zbl 1513.28013 J. Dyn. Syst. Geom. Theor. 20, No. 1, 33-53 (2022). MSC: 28A80 28A20 28A75 28A78 49Q15 PDFBibTeX XMLCite \textit{A. B. Mabrouk} et al., J. Dyn. Syst. Geom. Theor. 20, No. 1, 33--53 (2022; Zbl 1513.28013) Full Text: DOI
Ferrera, Juan; Gil, Javier Gómez; Llorente, Jesús Superdifferential analysis of the Takagi-van der Waerden functions. (English) Zbl 1506.26002 Set-Valued Var. Anal. 30, No. 3, 811-826 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 26A27 26A30 28A78 49J52 PDFBibTeX XMLCite \textit{J. Ferrera} et al., Set-Valued Var. Anal. 30, No. 3, 811--826 (2022; Zbl 1506.26002) Full Text: DOI
Douzi, Zied; Selmi, Bilel Projection theorems for Hewitt-Stromberg and modified intermediate dimensions. (English) Zbl 1501.28004 Result. Math. 77, No. 4, Paper No. 158, 14 p. (2022). MSC: 28A78 28A80 49Q15 PDFBibTeX XMLCite \textit{Z. Douzi} and \textit{B. Selmi}, Result. Math. 77, No. 4, Paper No. 158, 14 p. (2022; Zbl 1501.28004) Full Text: DOI
Kristály, Alexandru; Zhao, Wei On the geometry of irreversible metric-measure spaces: convergence, stability and analytic aspects. (English. French summary) Zbl 1498.53061 J. Math. Pures Appl. (9) 158, 216-292 (2022). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 53C23 49Q15 PDFBibTeX XMLCite \textit{A. Kristály} and \textit{W. Zhao}, J. Math. Pures Appl. (9) 158, 216--292 (2022; Zbl 1498.53061) Full Text: DOI arXiv
Douzi, Zied; Selmi, Bilel Projections of mutual multifractal functions. (English) Zbl 1499.28005 J. Class. Anal. 19, No. 1, 21-37 (2021). MSC: 28A75 28A20 28A78 28A80 49Q15 PDFBibTeX XMLCite \textit{Z. Douzi} and \textit{B. Selmi}, J. Class. Anal. 19, No. 1, 21--37 (2021; Zbl 1499.28005) Full Text: DOI arXiv
De Masi, Luigi Rectifiability of the free boundary for varifolds. (English) Zbl 1494.49029 Indiana Univ. Math. J. 70, No. 6, 2603-2651 (2021). Reviewer: Laurent Moonens (Paris) MSC: 49Q15 53A07 PDFBibTeX XMLCite \textit{L. De Masi}, Indiana Univ. Math. J. 70, No. 6, 2603--2651 (2021; Zbl 1494.49029) Full Text: DOI arXiv
Shmerkin, Pablo Improved bounds for the dimensions of planar distance sets. (English) Zbl 1467.28004 J. Fractal Geom. 8, No. 1, 27-51 (2021). MSC: 28A75 28A80 49Q15 PDFBibTeX XMLCite \textit{P. Shmerkin}, J. Fractal Geom. 8, No. 1, 27--51 (2021; Zbl 1467.28004) Full Text: DOI arXiv
Soltanifar, Mohsen The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals. arXiv:2109.02739 Preprint, arXiv:2109.02739 [math.PR] (2021). MSC: 28A80 11K55 03E10 49J55 BibTeX Cite \textit{M. Soltanifar}, ``The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals'', Preprint, arXiv:2109.02739 [math.PR] (2021) Full Text: DOI arXiv OA License
Antonelli, Gioacchino; Le Donne, Enrico Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces. (English) Zbl 1448.53042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111983, 29 p. (2020). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 22E25 28A75 49Q15 PDFBibTeX XMLCite \textit{G. Antonelli} and \textit{E. Le Donne}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111983, 29 p. (2020; Zbl 1448.53042) Full Text: DOI arXiv
Arroyo-Rabasa, Adolfo An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint. (English) Zbl 1447.28003 Proc. Am. Math. Soc. 148, No. 1, 273-282 (2020). Reviewer: Peter Massopust (München) MSC: 28A78 35F35 49Q15 PDFBibTeX XMLCite \textit{A. Arroyo-Rabasa}, Proc. Am. Math. Soc. 148, No. 1, 273--282 (2020; Zbl 1447.28003) Full Text: DOI arXiv
Keleti, Tamás; Shmerkin, Pablo New bounds on the dimensions of planar distance sets. (English) Zbl 1428.28005 Geom. Funct. Anal. 29, No. 6, 1886-1948 (2019). MSC: 28A75 26A16 28A80 49Q15 PDFBibTeX XMLCite \textit{T. Keleti} and \textit{P. Shmerkin}, Geom. Funct. Anal. 29, No. 6, 1886--1948 (2019; Zbl 1428.28005) Full Text: DOI arXiv
Kruk, A. V.; Malykh, A. E.; Reitmann, V. Upper bounds for the Hausdorff dimension and stratification of an invariant set of an evolution system on a Hilbert manifold. (English) Zbl 1392.37086 Differ. Equ. 53, No. 13, 1715-1733 (2017). MSC: 37L05 28A80 49S05 49J40 PDFBibTeX XMLCite \textit{A. V. Kruk} et al., Differ. Equ. 53, No. 13, 1715--1733 (2017; Zbl 1392.37086) Full Text: DOI
Cheng, Da Rong A compactness result for energy-minimizing harmonic maps with rough domain metric. (English) Zbl 1384.53057 Commun. Anal. Geom. 25, No. 5, 927-940 (2017). Reviewer: Eduardo Hulett (Cordoba) MSC: 53C43 49J40 PDFBibTeX XMLCite \textit{D. R. Cheng}, Commun. Anal. Geom. 25, No. 5, 927--940 (2017; Zbl 1384.53057) Full Text: DOI arXiv
Nimer, A. Dali A sharp bound on the Hausdorff dimension of the singular set of a uniform measure. (English) Zbl 1379.28002 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 111, 31 p. (2017). Reviewer: Daniele Puglisi (Catania) MSC: 28A33 49Q15 PDFBibTeX XMLCite \textit{A. D. Nimer}, Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 111, 31 p. (2017; Zbl 1379.28002) Full Text: DOI arXiv
Lachièze-Rey, Raphaël; Vega, Sergio Boundary density and Voronoi set estimation for irregular sets. (English) Zbl 1388.60042 Trans. Am. Math. Soc. 369, No. 7, 4953-4976 (2017). Reviewer: Andrew Wade (Durham) MSC: 60D05 60F05 28A80 28A78 49Q15 PDFBibTeX XMLCite \textit{R. Lachièze-Rey} and \textit{S. Vega}, Trans. Am. Math. Soc. 369, No. 7, 4953--4976 (2017; Zbl 1388.60042) Full Text: DOI arXiv
Alberti, Giovanni; Ottolini, Martino On the structure of continua with finite length and Gołąb’s semicontinuity theorem. (English) Zbl 1359.28001 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 153, 35-55 (2017). MSC: 28A75 54F50 26A45 49J45 49Q20 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{M. Ottolini}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 153, 35--55 (2017; Zbl 1359.28001) Full Text: DOI arXiv
Dal Maso, Gianni; Morandotti, Marco A model for the quasistatic growth of cracks with fractional dimension. (English) Zbl 1394.74139 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 43-58 (2017). MSC: 74P10 49J45 74R10 49J40 28A78 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{M. Morandotti}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 43--58 (2017; Zbl 1394.74139) Full Text: DOI arXiv
Kruck, Amina V. Upper estimate for Hausdorff dimension of invariant sets of evolutionary variational inequalities. (Russian. English summary) Zbl 1359.93340 Differ. Uravn. Protsessy Upr. 2015, No. 4, 16-34 (2015). MSC: 93D05 49J40 PDFBibTeX XMLCite \textit{A. V. Kruck}, Differ. Uravn. Protsessy Upr. 2015, No. 4, 16--34 (2015; Zbl 1359.93340) Full Text: Link
Daniel, Jean-Paul Quadratic expansions and partial regularity for fully nonlinear uniformly parabolic equations. (English) Zbl 1329.35092 Calc. Var. Partial Differ. Equ. 54, No. 1, 183-216 (2015). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35K55 35D40 49N60 35B51 PDFBibTeX XMLCite \textit{J.-P. Daniel}, Calc. Var. Partial Differ. Equ. 54, No. 1, 183--216 (2015; Zbl 1329.35092) Full Text: DOI arXiv
De Philippis, Guido; Figalli, Alessio A note on the dimension of the singular set in free interface problems. (English) Zbl 1340.49044 Differ. Integral Equ. 28, No. 5-6, 523-536 (2015). MSC: 49Q20 35A15 PDFBibTeX XMLCite \textit{G. De Philippis} and \textit{A. Figalli}, Differ. Integral Equ. 28, No. 5--6, 523--536 (2015; Zbl 1340.49044) Full Text: arXiv
Marchese, Andrea On the building dimension of closed cones and Almgren’s stratification principle. (English) Zbl 1316.49049 Proc. Am. Math. Soc. 143, No. 7, 3041-3046 (2015). Reviewer: Andrew Bucki (Edmond) MSC: 49Q05 49Q20 PDFBibTeX XMLCite \textit{A. Marchese}, Proc. Am. Math. Soc. 143, No. 7, 3041--3046 (2015; Zbl 1316.49049) Full Text: DOI arXiv
Kloeckner, Benoît R. A geometric study of Wasserstein spaces: ultrametrics. (English) Zbl 1312.30069 Mathematika 61, No. 1, 162-178 (2015). MSC: 30L05 37F35 49Q20 PDFBibTeX XMLCite \textit{B. R. Kloeckner}, Mathematika 61, No. 1, 162--178 (2015; Zbl 1312.30069) Full Text: DOI arXiv
Schikorra, Armin A note on zero-sets of fractional Sobolev functions with negative power of integrability. (English) Zbl 1335.46031 Proc. Am. Math. Soc. 143, No. 3, 1189-1197 (2015). MSC: 46E35 49Q15 PDFBibTeX XMLCite \textit{A. Schikorra}, Proc. Am. Math. Soc. 143, No. 3, 1189--1197 (2015; Zbl 1335.46031) Full Text: DOI arXiv
De Lellis, Camillo; Focardi, Matteo; Ruffini, Berardo A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy. (English) Zbl 1304.49091 Adv. Calc. Var. 7, No. 4, 539-545 (2014). MSC: 49Q20 49J45 28A78 PDFBibTeX XMLCite \textit{C. De Lellis} et al., Adv. Calc. Var. 7, No. 4, 539--545 (2014; Zbl 1304.49091) Full Text: DOI arXiv
Colombo, Giovanni; Nguyen, Khai T.; Nguyen, Luong V. Non-Lipschitz points and the \(SBV\) regularity of the minimum time function. (English) Zbl 1297.49065 Calc. Var. Partial Differ. Equ. 51, No. 1-2, 439-463 (2014). MSC: 49N60 49K15 49N05 49J52 26B30 28A78 PDFBibTeX XMLCite \textit{G. Colombo} et al., Calc. Var. Partial Differ. Equ. 51, No. 1--2, 439--463 (2014; Zbl 1297.49065) Full Text: DOI arXiv
Tachikawa, Atsushi On the singular set of minimizers of \(p(x)\)-energies. (English) Zbl 1305.49049 Calc. Var. Partial Differ. Equ. 50, No. 1-2, 145-169 (2014). Reviewer: Christopher Goodrich (Omaha) MSC: 49N60 35J50 PDFBibTeX XMLCite \textit{A. Tachikawa}, Calc. Var. Partial Differ. Equ. 50, No. 1--2, 145--169 (2014; Zbl 1305.49049) Full Text: DOI
Hong, Guanghao Optimal estimate on Hausdorff dimension of Reifenberg sets. (English) Zbl 1286.28004 Analysis, München 34, No. 1, 121-132 (2014). MSC: 28A75 28A78 49Q15 PDFBibTeX XMLCite \textit{G. Hong}, Analysis, München 34, No. 1, 121--132 (2014; Zbl 1286.28004) Full Text: DOI
Savin, Ovidiu; Valdinoci, Enrico Regularity of nonlocal minimal cones in dimension 2. (English) Zbl 1275.35065 Calc. Var. Partial Differ. Equ. 48, No. 1-2, 33-39 (2013). MSC: 35B65 26A33 49Q15 28A75 PDFBibTeX XMLCite \textit{O. Savin} and \textit{E. Valdinoci}, Calc. Var. Partial Differ. Equ. 48, No. 1--2, 33--39 (2013; Zbl 1275.35065) Full Text: DOI arXiv
Ahmed, N. U. Stochastic differential equations on Banach spaces and their optimal feedback control. (English) Zbl 1290.93206 Discuss. Math., Differ. Incl. Control Optim. 32, 87-109 (2012). MSC: 93E20 49N35 49J55 49J27 60H15 93B52 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Discuss. Math., Differ. Incl. Control Optim. 32, 87--109 (2012; Zbl 1290.93206) Full Text: DOI Link
Akman, Murat; Lewis, John L.; Vogel, Andrew On the logarithm of the minimizing integrand for certain variational problems in two dimensions. (English) Zbl 1256.49013 Anal. Math. Phys. 2, No. 1, 79-88 (2012). MSC: 49J30 PDFBibTeX XMLCite \textit{M. Akman} et al., Anal. Math. Phys. 2, No. 1, 79--88 (2012; Zbl 1256.49013) Full Text: DOI
Ledoux, Michel Geometry of metric measure spaces: the work of Lott, Villani, Sturm. (Géométrie des espaces métriques mesurés: les travaux de Lott, Villani, Sturm.) (French) Zbl 1207.53051 Séminaire Bourbaki. Volume 2007/2008. Exposés 982–996. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-269-3/pbk). Astérisque 326, 257-279, Exp. No. 990 (2009). Reviewer: Antonio Masiello (Bari) MSC: 53C21 53C23 28A33 46E35 49Q20 58C40 58J99 60J60 35K05 60J65 PDFBibTeX XMLCite \textit{M. Ledoux}, Astérisque 326, 257--279, Exp. No. 990 (2009; Zbl 1207.53051) Full Text: Link
Carozza, Menita; Leonetti, Francesco; Passarelli di Napoli, Antonia Vector valued minimizers of anisotropic functionals: fractional differentiability and estimate for the singular set. (English) Zbl 1194.49047 Manuscr. Math. 128, No. 1, 51-68 (2009). MSC: 49N60 35J60 35J46 PDFBibTeX XMLCite \textit{M. Carozza} et al., Manuscr. Math. 128, No. 1, 51--68 (2009; Zbl 1194.49047) Full Text: DOI
Csörnyei, Marianna; Kirchheim, Bernd; O’Neil, Toby C.; Preiss, David; Winter, Steffen Universal singular sets in the calculus of variations. (English) Zbl 1218.49049 Arch. Ration. Mech. Anal. 190, No. 3, 371-424 (2008). MSC: 49Q20 PDFBibTeX XMLCite \textit{M. Csörnyei} et al., Arch. Ration. Mech. Anal. 190, No. 3, 371--424 (2008; Zbl 1218.49049) Full Text: DOI arXiv Link
Mingione, Giuseppe Singularities of minima: a walk on the wild side of the calculus of variations. (English) Zbl 1295.49025 J. Glob. Optim. 40, No. 1-3, 209-223 (2008). MSC: 49N60 26A33 PDFBibTeX XMLCite \textit{G. Mingione}, J. Glob. Optim. 40, No. 1--3, 209--223 (2008; Zbl 1295.49025) Full Text: DOI
Guo, Zongming; Hou, Songbo Partial regularity for solutions of a nonlinear elliptic equation with singular nonlinearity. (English) Zbl 1137.35363 J. Math. Anal. Appl. 340, No. 2, 806-816 (2008). MSC: 35J60 35B65 49Q15 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{S. Hou}, J. Math. Anal. Appl. 340, No. 2, 806--816 (2008; Zbl 1137.35363) Full Text: DOI
Cho, Sungwon; Yan, Xiaodong On the singular set for Lipschitzian critical points of polyconvex functionals. (English) Zbl 1126.49031 J. Math. Anal. Appl. 336, No. 1, 372-398 (2007). MSC: 49N60 49J20 PDFBibTeX XMLCite \textit{S. Cho} and \textit{X. Yan}, J. Math. Anal. Appl. 336, No. 1, 372--398 (2007; Zbl 1126.49031) Full Text: DOI
Roginskaya, Maria; Wojciechowski, Michal Singularity of vector valued measures in terms of Fourier transform. (English) Zbl 1096.42003 J. Fourier Anal. Appl. 12, No. 2, 213-223 (2006). MSC: 42B10 28B05 28A78 49Q15 PDFBibTeX XMLCite \textit{M. Roginskaya} and \textit{M. Wojciechowski}, J. Fourier Anal. Appl. 12, No. 2, 213--223 (2006; Zbl 1096.42003) Full Text: DOI
Kristensen, Jan; Mingione, Giuseppe The singular set of minima of integral functionals. (English) Zbl 1116.49010 Arch. Ration. Mech. Anal. 180, No. 3, 331-398 (2006). Reviewer: Jafar Zafarani (Isfahan) MSC: 49J45 PDFBibTeX XMLCite \textit{J. Kristensen} and \textit{G. Mingione}, Arch. Ration. Mech. Anal. 180, No. 3, 331--398 (2006; Zbl 1116.49010) Full Text: DOI
De Cecco, Giuseppe; Palmieri, Giuliana Lengths of a curve and the corresponding Hausdorff-type dimensions in generalized metric spaces. (English) Zbl 1109.28006 Rev. Roum. Math. Pures Appl. 50, No. 5-6, 565-584 (2005). Reviewer: Octavian Lipovan (Timişoara) MSC: 28A78 49J10 PDFBibTeX XMLCite \textit{G. De Cecco} and \textit{G. Palmieri}, Rev. Roum. Math. Pures Appl. 50, No. 5--6, 565--584 (2005; Zbl 1109.28006)
Delfour, Michel C.; Doyon, Nicolas; Zolésio, Jean-Paul Uniform cusp property, boundary integral, and compactness for shape optimization. (English) Zbl 1116.49021 Cagnol, John (ed.) et al., System modeling and optimization. Proceedings of the 21st IFIP TC7 conference held in Sophia Antipolis, France, July 21–25, 2003. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7760-2/hbk). IFIP, International Federation for Information Processing 166, 25-40 (2005). MSC: 49Q10 PDFBibTeX XMLCite \textit{M. C. Delfour} et al., IFIP, Int. Fed. Inf. Process. 166, 25--40 (2005; Zbl 1116.49021)
Kourouma, Moussa Reduction of the dimension of the singular set of energy minimizing maps with values in a compact metric space with upper curvature bound. (English) Zbl 1080.58016 Afr. Mat., Sér. III 16, 55-86 (2005). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 49Q20 PDFBibTeX XMLCite \textit{M. Kourouma}, Afr. Mat., Sér. III 16, 55--86 (2005; Zbl 1080.58016)
Kristensen, Jan; Mingione, Giuseppe The singular set of \(\omega\)-minima. (English) Zbl 1082.49036 Arch. Ration. Mech. Anal. 177, No. 1, 93-114 (2005). Reviewer: Elvira Mascolo (Firenze) MSC: 49N60 49J10 49K10 PDFBibTeX XMLCite \textit{J. Kristensen} and \textit{G. Mingione}, Arch. Ration. Mech. Anal. 177, No. 1, 93--114 (2005; Zbl 1082.49036) Full Text: DOI
Buttazzo, Giuseppe; Stepanov, Eugene Transport density in Monge-Kantorovich problems with Dirichlet conditions. (English) Zbl 1094.49028 Discrete Contin. Dyn. Syst. 12, No. 4, 607-628 (2005). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49Q20 49N60 49Q10 PDFBibTeX XMLCite \textit{G. Buttazzo} and \textit{E. Stepanov}, Discrete Contin. Dyn. Syst. 12, No. 4, 607--628 (2005; Zbl 1094.49028) Full Text: DOI
Mucci, Domenico Fractures and vector valued maps. (English) Zbl 1074.49012 Calc. Var. Partial Differ. Equ. 22, No. 4, 391-420 (2005). Reviewer: Constantin Zălinescu (Iaşi) MSC: 49Q15 28A75 49J52 PDFBibTeX XMLCite \textit{D. Mucci}, Calc. Var. Partial Differ. Equ. 22, No. 4, 391--420 (2005; Zbl 1074.49012) Full Text: DOI
Kristensen, Jan; Mingione, Giuseppe Non-differentiable functionals and singular sets of minima. (English. Abridged French version) Zbl 1058.49012 C. R., Math., Acad. Sci. Paris 340, No. 1, 93-98 (2005). MSC: 49J45 49N60 35J20 49J10 PDFBibTeX XMLCite \textit{J. Kristensen} and \textit{G. Mingione}, C. R., Math., Acad. Sci. Paris 340, No. 1, 93--98 (2005; Zbl 1058.49012) Full Text: DOI
David, Guy Hausdorff dimension of uniformly non-flat sets with topology. (English) Zbl 1065.49028 Publ. Mat., Barc. 48, No. 1, 187-225 (2004). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 49Q20 28A75 28A80 PDFBibTeX XMLCite \textit{G. David}, Publ. Mat., Barc. 48, No. 1, 187--225 (2004; Zbl 1065.49028) Full Text: DOI EuDML
Jiang, Huiqiang; Lin, Fanghua Zero set of Sobolev functions with negative power of integrability. (English) Zbl 1119.35014 Chin. Ann. Math., Ser. B 25, No. 1, 65-72 (2004). Reviewer: Gelu Paşa (Bucureşti) MSC: 35J15 49Q15 74K35 PDFBibTeX XMLCite \textit{H. Jiang} and \textit{F. Lin}, Chin. Ann. Math., Ser. B 25, No. 1, 65--72 (2004; Zbl 1119.35014) Full Text: DOI
Cupini, Giovanni; Petti, Raffaella Hölder continuity of local minimizers of vectorial integral functionals. (English) Zbl 1023.49028 NoDEA, Nonlinear Differ. Equ. Appl. 10, No. 3, 269-285 (2003). MSC: 49N60 49J45 PDFBibTeX XMLCite \textit{G. Cupini} and \textit{R. Petti}, NoDEA, Nonlinear Differ. Equ. Appl. 10, No. 3, 269--285 (2003; Zbl 1023.49028) Full Text: DOI
Ambrosio, Luigi; Fusco, Nicola; Hutchinson, John E. Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional. (English) Zbl 1047.49015 Calc. Var. Partial Differ. Equ. 16, No. 2, 187-215 (2003). Reviewer: Constantin Zălinescu (Iaşi) MSC: 49J45 49Q20 28A78 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Calc. Var. Partial Differ. Equ. 16, No. 2, 187--215 (2003; Zbl 1047.49015) Full Text: DOI
Pignotti, Cristina Rectifiability results for singular and conjugate points of optimal exit time problems. (English) Zbl 1008.49020 J. Math. Anal. Appl. 270, No. 2, 681-708 (2002). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L20 49L25 49K15 26B35 PDFBibTeX XMLCite \textit{C. Pignotti}, J. Math. Anal. Appl. 270, No. 2, 681--708 (2002; Zbl 1008.49020) Full Text: DOI
David, G.; Semmes, S. Regular mappings between dimensions. (English) Zbl 1041.42010 Publ. Mat., Barc. 44, No. 2, 369-417 (2000). Reviewer: Luigi Ambrosio (Pisa) MSC: 42B20 26B05 49Q15 28A78 54E40 PDFBibTeX XMLCite \textit{G. David} and \textit{S. Semmes}, Publ. Mat., Barc. 44, No. 2, 369--417 (2000; Zbl 1041.42010) Full Text: DOI EuDML
Rigot, Séverine Big pieces of \(C^{1,\alpha}\)-graphs for minimizers of the Mumford-Shah functional. (English) Zbl 0960.49024 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 2, 329-349 (2000). MSC: 49N60 49J10 49Q20 PDFBibTeX XMLCite \textit{S. Rigot}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 2, 329--349 (2000; Zbl 0960.49024) Full Text: Numdam EuDML
White, Brian The size of the singular set in mean curvature flow of mean-convex sets. (English) Zbl 0961.53039 J. Am. Math. Soc. 13, No. 3, 665-695 (2000). Reviewer: Knut Smoczyk (Leipzig) MSC: 53C44 49Q20 PDFBibTeX XMLCite \textit{B. White}, J. Am. Math. Soc. 13, No. 3, 665--695 (2000; Zbl 0961.53039) Full Text: DOI
Ghamsari, Manouchehr; Herron, David A. Higher dimensional Ahlfors regular sets and chordarc curves in \(R^n\). (English) Zbl 0932.28004 Rocky Mt. J. Math. 28, No. 1, 191-222 (1998). Reviewer: S.V.Kislyakov (St.Peterburg) MSC: 28A75 28A80 28A78 49Q15 PDFBibTeX XMLCite \textit{M. Ghamsari} and \textit{D. A. Herron}, Rocky Mt. J. Math. 28, No. 1, 191--222 (1998; Zbl 0932.28004) Full Text: DOI Link
Mosco, Umberto Variational fractals. (English) Zbl 1016.28010 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 25, No. 3-4, 683-712 (1997). Reviewer: Lars Olsen (MR 99m:28023) MSC: 28A80 26D10 31C25 46E35 49J45 PDFBibTeX XMLCite \textit{U. Mosco}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 25, No. 3--4, 683--712 (1997; Zbl 1016.28010) Full Text: Numdam EuDML
Simon, L. Lectures on singularities of variational problems. (English) Zbl 0893.49028 Yau, Shing-Tung (ed.), Tsing Hua lectures on geometry and analysis, Taiwan, 1990-91. Cambridge, MA: International Press. 279-298 (1997). Reviewer: Shen Yi-Bing (Hangzhou) MSC: 49N60 58E20 PDFBibTeX XMLCite \textit{L. Simon}, in: Tsing Hua lectures on geometry and analysis, Taiwan, 1990-91. Cambridge, MA: International Press. 279--298 (1997; Zbl 0893.49028)
Kupka, Ivan Sub-Riemannian geometry. (Géométrie sous-riemannienne.) (French) Zbl 0893.53013 Séminaire Bourbaki. Volume 1995/96. Exposés 805–819. Paris: Société Mathématique de France, Astérisque. 241, 351-380, Exp. No. 817 (1997). Reviewer: C.Bär (Freiburg) MSC: 53C15 58A30 53-02 53C07 53C22 58E10 49K15 65H10 35K10 PDFBibTeX XMLCite \textit{I. Kupka}, in: Séminaire Bourbaki. Volume 1995/96. Exposés 805--819. Paris: Société Mathé\-matique de France. 351--380, Exp. No. 817 (1997; Zbl 0893.53013) Full Text: Numdam EuDML
Wang, Shiah-Sen Energy minimizing sections of a fiber bundle. (English) Zbl 0861.58008 Ill. J. Math. 40, No. 2, 281-292 (1996). Reviewer: C.S.Sharma (London) MSC: 58E15 49Q20 49K20 35J60 PDFBibTeX XMLCite \textit{S.-S. Wang}, Ill. J. Math. 40, No. 2, 281--292 (1996; Zbl 0861.58008)
Gatzouras, Dimitrios; Peres, Yuval The variational principle for Hausdorff dimension: A survey. (English) Zbl 0888.28003 Pollicott, Mark (ed.) et al., Ergodic theory of \(\mathbb{Z}^ d\) actions. Proceedings of the Warwick symposium, Warwick, UK, 1993-94. New York: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 228, 113-125 (1996). Reviewer: V.Berthé (Marseille) MSC: 28A78 49Q15 37A99 37D99 28A80 PDFBibTeX XMLCite \textit{D. Gatzouras} and \textit{Y. Peres}, Lond. Math. Soc. Lect. Note Ser. 228, 113--125 (1996; Zbl 0888.28003)
Tan, Kok-Keong; Yu, Jian; Yuan, Xian-Zhi The stability of Ky Fan’s points. (English) Zbl 0826.46004 Proc. Am. Math. Soc. 123, No. 5, 1511-1519 (1995). MSC: 46A55 47H04 46A50 47H10 49J40 52A05 52A07 PDFBibTeX XMLCite \textit{K.-K. Tan} et al., Proc. Am. Math. Soc. 123, No. 5, 1511--1519 (1995; Zbl 0826.46004) Full Text: DOI
Okhota, V. I. On the area of spherical images. (Russian) Zbl 0735.49038 Geometric questions in the theory of functions and sets, Collect. Sci. Works, Kalinin, 66-70 (1989). Reviewer: W.Kaiser MSC: 49Q15 PDFBibTeX XMLCite \textit{V. I. Okhota}, in: 64 small cubes. . 66--70 (1989; Zbl 0735.49038)
Grüter, Michael Optimal regularity for codimension one minimal surfaces with a free boundary. (English) Zbl 0609.35012 Manuscr. Math. 58, 295-343 (1987). MSC: 35B65 35J65 49Q05 53A10 49Q15 49Q20 PDFBibTeX XMLCite \textit{M. Grüter}, Manuscr. Math. 58, 295--343 (1987; Zbl 0609.35012) Full Text: DOI EuDML
Harvey, F. Reese; Lawson, H. Blaine jun. Complex analytic geometry and measure theory. (English) Zbl 0587.32019 Geometric measure theory and the calculus of variations, Proc. Summer Inst., Arcata/Calif. 1984, Proc. Symp. Pure Math. 44, 261-274 (1986). Reviewer: K.Dabrowski MSC: 32C30 32-02 32C25 32D20 32E10 32F10 49Q15 51M35 PDFBibTeX XML
Taylor, S. James; Tricot, Claude The packing measure of rectifiable sets. (English) Zbl 0578.28007 Real Anal. Exch. 10(1984/85), 58-67 (1985). MSC: 28A75 49Q15 PDFBibTeX XMLCite \textit{S. J. Taylor} and \textit{C. Tricot}, Real Anal. Exch. 10, 58--67 (1985; Zbl 0578.28007)