García-Bravo, Miguel; Rajala, Tapio; Zhu, Zheng Bi-Lipschitz invariance of planar \(BV\)- and \(W^{1,1}\)-extension domains. (English) Zbl 07498272 Proc. Am. Math. Soc. 150, No. 6, 2535-2543 (2022). Reviewer: Eduard Curca (Lyon) MSC: 46E35 26B30 30C62 30C65 PDF BibTeX XML Cite \textit{M. García-Bravo} et al., Proc. Am. Math. Soc. 150, No. 6, 2535--2543 (2022; Zbl 07498272) Full Text: DOI arXiv OpenURL
Tidriri, Moulay D. Existence, global regularity and uniqueness of solutions of the Navier-Stokes equations in space dimension 3 when the initial data are regular. (English) Zbl 07612943 Aust. J. Math. Anal. Appl. 18, No. 2, Article No. 21, 126 p. (2021). MSC: 35Q30 76D03 76D05 49Q15 58C35 28A75 26B30 35B60 35B65 35Q35 PDF BibTeX XML Cite \textit{M. D. Tidriri}, Aust. J. Math. Anal. Appl. 18, No. 2, Article No. 21, 126 p. (2021; Zbl 07612943) Full Text: Link OpenURL
Hafemeyer, Dominik; Mannel, Florian; Neitzel, Ira; Vexler, Boris Finite element error estimates for one-dimensional elliptic optimal control by BV-functions. (English) Zbl 1465.65137 Math. Control Relat. Fields 10, No. 2, 333-363 (2020). MSC: 65N30 65N15 49J20 49M25 49M41 26B30 PDF BibTeX XML Cite \textit{D. Hafemeyer} et al., Math. Control Relat. Fields 10, No. 2, 333--363 (2020; Zbl 1465.65137) Full Text: DOI arXiv OpenURL
Ignat, Radu; Lamy, Xavier Lifting of \({\mathbb {RP}^{d-1}}\)-valued maps in \(BV\) and applications to uniaxial \(Q\)-tensors. With an appendix on an intrinsic \(BV\)-energy for manifold-valued maps. (English) Zbl 1411.49032 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 68, 26 p. (2019). MSC: 49Q20 26B30 58D15 76A15 PDF BibTeX XML Cite \textit{R. Ignat} and \textit{X. Lamy}, Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 68, 26 p. (2019; Zbl 1411.49032) Full Text: DOI arXiv OpenURL
Pratelli, Aldo; Radici, Emanuela Approximation of planar BV homeomorphisms by diffeomorphisms. (English) Zbl 1426.41019 J. Funct. Anal. 276, No. 3, 659-686 (2019). Reviewer: George Stoica (Saint John) MSC: 41A29 26B10 46E35 PDF BibTeX XML Cite \textit{A. Pratelli} and \textit{E. Radici}, J. Funct. Anal. 276, No. 3, 659--686 (2019; Zbl 1426.41019) Full Text: DOI Link OpenURL
Torres, Monica On the dual of \(BV\). (English) Zbl 1427.46019 Galaz-García, Fernando (ed.) et al., Contributions of Mexican mathematicians abroad in pure and applied mathematics. Second meeting “Matemáticos Mexicanos en el Mundo”, Centro de Investigación en Matemáticas, Guanajuato, Mexico, December 15–19, 2014. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana. Contemp. Math. 709, 115-129 (2018). MSC: 46E27 26B30 49Q15 PDF BibTeX XML Cite \textit{M. Torres}, Contemp. Math. 709, 115--129 (2018; Zbl 1427.46019) Full Text: DOI Backlinks: MO OpenURL
Baía, Margarida; Krömer, Stefan; Kružík, Martin Generalized \(W^{1,1}\)-Young measures and relaxation of problems with linear growth. (English) Zbl 1384.49017 SIAM J. Math. Anal. 50, No. 1, 1076-1119 (2018). MSC: 49J45 26B30 52A99 49Q20 PDF BibTeX XML Cite \textit{M. Baía} et al., SIAM J. Math. Anal. 50, No. 1, 1076--1119 (2018; Zbl 1384.49017) Full Text: DOI arXiv OpenURL
De Cicco, Virginia Nonautonomous chain rules in BV with Lipschitz dependence. (English) Zbl 1358.49040 Milan J. Math. 84, No. 2, 243-267 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q15 49Q20 26B30 49J45 49M20 PDF BibTeX XML Cite \textit{V. De Cicco}, Milan J. Math. 84, No. 2, 243--267 (2016; Zbl 1358.49040) Full Text: DOI OpenURL
Capriani, Giuseppe Maria The Steiner rearrangement in any codimension. (English) Zbl 1283.49057 Calc. Var. Partial Differ. Equ. 49, No. 1-2, 517-548 (2014). MSC: 49Q20 26B30 26D10 46E35 PDF BibTeX XML Cite \textit{G. M. Capriani}, Calc. Var. Partial Differ. Equ. 49, No. 1--2, 517--548 (2014; Zbl 1283.49057) Full Text: DOI arXiv OpenURL
Trevisan, Dario BV-regularity for the Malliavin derivative of the maximum of the Wiener process. (English) Zbl 1309.60054 Electron. Commun. Probab. 18, Paper No. 29, 9 p. (2013). MSC: 60H07 28C20 26B30 PDF BibTeX XML Cite \textit{D. Trevisan}, Electron. Commun. Probab. 18, Paper No. 29, 9 p. (2013; Zbl 1309.60054) Full Text: DOI arXiv OpenURL
D’Onofrio, Luigi; Schiattarella, Roberta On the total variations for the inverse of a \(BV\)-homeomorphism. (English) Zbl 1279.26029 Adv. Calc. Var. 6, No. 3, 321-338 (2013). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 26B30 46E35 PDF BibTeX XML Cite \textit{L. D'Onofrio} and \textit{R. Schiattarella}, Adv. Calc. Var. 6, No. 3, 321--338 (2013; Zbl 1279.26029) Full Text: DOI OpenURL
Ambrosio, Luigi; Figalli, Alessio; Runa, Eris On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. (English) Zbl 1282.28002 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 1, 111-122 (2013). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 26B30 28C20 60H30 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 1, 111--122 (2013; Zbl 1282.28002) Full Text: DOI arXiv OpenURL
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego BV functions in abstract Wiener spaces. (English) Zbl 1194.46066 J. Funct. Anal. 258, No. 3, 785-813 (2010). Reviewer: Stefan Balint (Timişoara) MSC: 46G12 46T20 26B30 26E15 47D07 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., J. Funct. Anal. 258, No. 3, 785--813 (2010; Zbl 1194.46066) Full Text: DOI OpenURL
Mucci, Domenico \(BV\)-maps with values into \(S^{1}\): Graphs, minimal connections and optimal lifting. (English) Zbl 1147.49038 Forum Math. 20, No. 5, 859-880 (2008). MSC: 49Q20 26B30 49J10 PDF BibTeX XML Cite \textit{D. Mucci}, Forum Math. 20, No. 5, 859--880 (2008; Zbl 1147.49038) Full Text: DOI OpenURL
Ambrosio, Luigi; Crippa, Gianluca; LeFloch, Philippe G. Leaf superposition property for integer rectifiable currents. (English) Zbl 1143.49032 Netw. Heterog. Media 3, No. 1, 85-95 (2008). MSC: 49Q15 26B30 30C55 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., Netw. Heterog. Media 3, No. 1, 85--95 (2008; Zbl 1143.49032) Full Text: DOI arXiv OpenURL
Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. (English) Zbl 1095.49001 MPS/SIAM Series on Optimization 6. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). Philadelphia, PA: MPS, Mathematical Programming Society (ISBN 0-89871-600-4/pbk; 978-0-89871-878-2/ebook). xii, 634 p. (2006). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49-01 35A15 35D05 26B30 49K20 49J52 49J45 49Q20 35-01 PDF BibTeX XML Cite \textit{H. Attouch} et al., Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). Philadelphia, PA: MPS, Mathematical Programming Society (2006; Zbl 1095.49001) Full Text: DOI OpenURL
Lee, Tuo-Yeong On the dual space of \({\mathcal B}{\mathcal V}\)-integrable functions in Euclidean space. (English) Zbl 1073.46020 Real Anal. Exch. 30(2004-2005), No. 1, 323-328 (2005). Reviewer: Daniel Li (Lens) MSC: 46E30 46B10 26B99 PDF BibTeX XML Cite \textit{T.-Y. Lee}, Real Anal. Exch. 30, No. 1, 323--328 (2005; Zbl 1073.46020) Full Text: DOI OpenURL
De Pauw, Thierry On the exceptional sets of the flux of a bounded vectorfield. (English) Zbl 1042.49039 J. Math. Pures Appl., IX. Sér. 82, No. 9, 1191-1217 (2003). MSC: 49Q15 28A75 26A39 26B15 PDF BibTeX XML Cite \textit{T. De Pauw}, J. Math. Pures Appl. (9) 82, No. 9, 1191--1217 (2003; Zbl 1042.49039) Full Text: DOI OpenURL
Cianchi, Andrea; Fusco, Nicola Symmetrization and functionals defined on BV. (English) Zbl 1045.49029 Dal Maso, Gianni (ed.) et al., Variational methods for discontinuous structures. International workshop, Villa Erba (Cernobbio), Italy, July 4–6, 2001. Basel: Birkhäuser (ISBN 3-7643-6913-2/hbk). Prog. Nonlinear Differ. Equ. Appl. 51, 91-102 (2002). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 49Q20 26D10 35A30 34A40 46E35 26B30 PDF BibTeX XML Cite \textit{A. Cianchi} and \textit{N. Fusco}, Prog. Nonlinear Differ. Equ. Appl. 51, 91--102 (2002; Zbl 1045.49029) OpenURL
Dibos, Françoise; Koepfler, Georges Global total variation minimization. (English) Zbl 0957.49002 SIAM J. Numer. Anal. 37, No. 2, 646-664 (2000). MSC: 49J10 26B30 68U10 35Q80 65K10 49J20 PDF BibTeX XML Cite \textit{F. Dibos} and \textit{G. Koepfler}, SIAM J. Numer. Anal. 37, No. 2, 646--664 (2000; Zbl 0957.49002) Full Text: DOI OpenURL
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří Cartesian currents in the calculus of variations II. Variational integrals. (English) Zbl 0914.49002 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. 38. Berlin: Springer. xxiv, 697 p. (1998). Reviewer: M.Fuchs (Saarbrücken) MSC: 49-02 49Q15 49Q20 26B30 58E20 74B20 76A15 PDF BibTeX XML Cite \textit{M. Giaquinta} et al., Cartesian currents in the calculus of variations II. Variational integrals. Berlin: Springer (1998; Zbl 0914.49002) OpenURL
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří Cartesian currents in the calculus of variations I. Cartesian currents. (English) Zbl 0914.49001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. 37. Berlin: Springer. xxiv, 711 p. (1998). Reviewer: M.Fuchs (Saarbrücken) MSC: 49-02 49Q15 49Q20 26B30 58E20 74B20 76A15 PDF BibTeX XML Cite \textit{M. Giaquinta} et al., Cartesian currents in the calculus of variations I. Cartesian currents. Berlin: Springer (1998; Zbl 0914.49001) Backlinks: MO OpenURL
Pfeffer, W. F. Comparing variations of charges. (English) Zbl 0894.26004 Indiana Univ. Math. J. 45, No. 3, 643-654 (1996). Reviewer: J.Mawhin (Louvain-La-Neuve) MSC: 26B20 49Q15 PDF BibTeX XML Cite \textit{W. F. Pfeffer}, Indiana Univ. Math. J. 45, No. 3, 643--654 (1996; Zbl 0894.26004) Full Text: DOI OpenURL
Benilan, Philippe; Gariepy, Ronald Strong solutions in \(L^ 1\) of degenerate parabolic equations. (English) Zbl 0828.35050 J. Differ. Equations 119, No. 2, 473-502 (1995). Reviewer: O.Titow (Berlin) MSC: 35K10 35K65 PDF BibTeX XML Cite \textit{P. Benilan} and \textit{R. Gariepy}, J. Differ. Equations 119, No. 2, 473--502 (1995; Zbl 0828.35050) Full Text: DOI OpenURL
Ambrosio, Luigi; Pallara, Diego Integral representation of relaxed functionals on \(BV(\mathbb{R}^ n,\mathbb{R}^ k)\) and polyhedral approximation. (English) Zbl 0790.49013 Indiana Univ. Math. J. 42, No. 2, 295-321 (1993). Reviewer: D.Pallara (Lecce) MSC: 49J45 49Q20 26B30 PDF BibTeX XML Cite \textit{L. Ambrosio} and \textit{D. Pallara}, Indiana Univ. Math. J. 42, No. 2, 295--321 (1993; Zbl 0790.49013) Full Text: DOI OpenURL
Brandi, Primo; Salvadori, Anna Weierstrass integrals of the calculus of variations along BV curves and a comparison with Lebesgue and Serrin integral functionals. (Italian) Zbl 0644.49029 Atti Semin. Mat. Fis. Univ. Modena 35, 319-325 (1987). Reviewer: P.Pucci MSC: 49Q20 26B30 28A99 PDF BibTeX XML Cite \textit{P. Brandi} and \textit{A. Salvadori}, Atti Semin. Mat. Fis. Univ. Modena 35, 319--325 (1987; Zbl 0644.49029) OpenURL
Cecconi, J. P. Problems of the calculus of variations in Banach spaces and classes BV. (English) Zbl 0623.49007 Contributions to modern calculus of variations, Symp. Centen. Birth L. Tonelli, Bologna/Italy 1985, Pitman Res. Notes Math. Ser. 148, 26-53 (1987). Reviewer: G.Bottaro MSC: 49J45 26B30 49J27 46B99 PDF BibTeX XML OpenURL
Fujiwara, Daisuke; Takakuwa, Shoichiro A varifold solution to the nonlinear equation of motion of a vibrating membrane. (English) Zbl 0631.49019 Kodai Math. J. 9, 84-116 (1986). Reviewer: G.Dziuk MSC: 49Q15 35L70 49Q20 26B30 28A75 74H45 PDF BibTeX XML Cite \textit{D. Fujiwara} and \textit{S. Takakuwa}, Kodai Math. J. 9, 84--116 (1986; Zbl 0631.49019) Full Text: DOI OpenURL
Anzellotti, G.; Buttazzo, G.; Dal Maso, G. Dirichlet problem for demi-coercive functionals. (English) Zbl 0612.49008 Nonlinear Anal., Theory Methods Appl. 10, 603-613 (1986). Reviewer: F.Lin MSC: 49J45 26B30 74S30 26B25 46E30 PDF BibTeX XML Cite \textit{G. Anzellotti} et al., Nonlinear Anal., Theory Methods Appl. 10, 603--613 (1986; Zbl 0612.49008) Full Text: DOI OpenURL
Brandi, Primo; Salvadori, Anna Existence, semicontinuity and representation for the integrals of the calculus of variations. The BV case. (English) Zbl 0613.49030 Rend. Circ. Mat. Palermo, II. Ser., Suppl. 8, 447-462 (1985). Reviewer: P. Pucci MSC: 49Q20 26B15 26B30 49J45 PDF BibTeX XML Cite \textit{P. Brandi} and \textit{A. Salvadori}, Suppl. Rend. Circ. Mat. Palermo (2) 8, 447--462 (1985; Zbl 0613.49030) OpenURL
Goffman, Casper Bounded variation and absolute continuity in the theory of surface area. (English) Zbl 0407.26008 Real Anal. Exch. 4(1978-79), 9-47 (1979). MSC: 26B15 28A75 26B30 26A45 26A46 26-02 49Q20 PDF BibTeX XML Cite \textit{C. Goffman}, Real Anal. Exch. 4, 9--47 (1979; Zbl 0407.26008) OpenURL