Baldo, Sisto; Le, Van Phu Cuong; Massaccesi, Annalisa; Orlandi, Giandomenico Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks. (English) Zbl 07817713 Math. Eng. (Springfield) 5, No. 4, Paper No. 78, 19 p. (2023). MSC: 49Q15 49Q22 90-XX PDFBibTeX XMLCite \textit{S. Baldo} et al., Math. Eng. (Springfield) 5, No. 4, Paper No. 78, 19 p. (2023; Zbl 07817713) Full Text: DOI arXiv
Hernández-López, Eymard; Wences, Giovanni Optimization of urban transport; an alternative to checkerboard towns plans. (English) Zbl 07759206 Discrete Math. Algorithms Appl. 15, No. 7, Article ID 2250156, 20 p. (2023). MSC: 49Q22 60K30 90B10 90B15 62P30 62G10 PDFBibTeX XMLCite \textit{E. Hernández-López} and \textit{G. Wences}, Discrete Math. Algorithms Appl. 15, No. 7, Article ID 2250156, 20 p. (2023; Zbl 07759206) Full Text: DOI
Caldini, Gianmarco; Marchese, Andrea; Steinbrüchel, Simone Generic uniqueness of optimal transportation networks. (English) Zbl 1528.49034 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 235, 30 p. (2023). Reviewer: Nicolò De Ponti (Trieste) MSC: 49Q22 49Q10 PDFBibTeX XMLCite \textit{G. Caldini} et al., Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 235, 30 p. (2023; Zbl 1528.49034) Full Text: DOI arXiv OA License
Xia, Qinglan; Xu, Shaofeng Ramified optimal transportation with payoff on the boundary. (English) Zbl 1511.49029 SIAM J. Math. Anal. 55, No. 1, 186-209 (2023). MSC: 49Q22 49Q10 90B10 PDFBibTeX XMLCite \textit{Q. Xia} and \textit{S. Xu}, SIAM J. Math. Anal. 55, No. 1, 186--209 (2023; Zbl 1511.49029) Full Text: DOI arXiv
Lohmann, Julius; Schmitzer, Bernhard; Wirth, Benedikt Duality in branched transport and urban planning. (English) Zbl 1498.49079 Appl. Math. Optim. 86, No. 3, Paper No. 45, 32 p. (2022). MSC: 49Q10 49Q22 PDFBibTeX XMLCite \textit{J. Lohmann} et al., Appl. Math. Optim. 86, No. 3, Paper No. 45, 32 p. (2022; Zbl 1498.49079) Full Text: DOI arXiv
Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. (English) Zbl 1496.35405 Netw. Heterog. Media 17, No. 5, 687-717 (2022). MSC: 35R02 49Q22 60B05 PDFBibTeX XMLCite \textit{M. Erbar} et al., Netw. Heterog. Media 17, No. 5, 687--717 (2022; Zbl 1496.35405) Full Text: DOI arXiv
Bressan, Alberto; Galtung, Sondre T.; Sun, Qing Optimal shapes for tree roots. (English) Zbl 1496.35407 SIAM J. Math. Anal. 54, No. 4, 4757-4784 (2022). MSC: 35R06 49Q10 90B06 92C80 PDFBibTeX XMLCite \textit{A. Bressan} et al., SIAM J. Math. Anal. 54, No. 4, 4757--4784 (2022; Zbl 1496.35407) Full Text: DOI arXiv
Akamatsu, Tomoya A new transport distance and its associated Ricci curvature of hypergraphs. (English) Zbl 1500.53019 Anal. Geom. Metr. Spaces 10, 90-108 (2022). MSC: 53B20 05C12 05C81 53C23 PDFBibTeX XMLCite \textit{T. Akamatsu}, Anal. Geom. Metr. Spaces 10, 90--108 (2022; Zbl 1500.53019) Full Text: DOI arXiv
Lohmann, Julius; Schmitzer, Bernhard; Wirth, Benedikt Formulation of branched transport as geometry optimization. (English. French summary) Zbl 1491.49029 J. Math. Pures Appl. (9) 163, 739-779 (2022). MSC: 49Q10 49Q22 90B06 90B10 PDFBibTeX XMLCite \textit{J. Lohmann} et al., J. Math. Pures Appl. (9) 163, 739--779 (2022; Zbl 1491.49029) Full Text: DOI arXiv
Colombo, Maria; De Rosa, Antonio; Marchese, Andrea; Pegon, Paul; Prouff, Antoine Stability of optimal traffic plans in the irrigation problem. (English) Zbl 1486.49063 Discrete Contin. Dyn. Syst. 42, No. 4, 1647-1667 (2022). Reviewer: Nicolò De Ponti (Trieste) MSC: 49Q20 49Q10 90B06 PDFBibTeX XMLCite \textit{M. Colombo} et al., Discrete Contin. Dyn. Syst. 42, No. 4, 1647--1667 (2022; Zbl 1486.49063) Full Text: DOI arXiv
Facca, Enrico; Cardin, Franco; Putti, Mario Branching structures emerging from a continuous optimal transport model. (English) Zbl 07516443 J. Comput. Phys. 447, Article ID 110700, 17 p. (2021). MSC: 49Qxx 90Bxx 49Jxx PDFBibTeX XMLCite \textit{E. Facca} et al., J. Comput. Phys. 447, Article ID 110700, 17 p. (2021; Zbl 07516443) Full Text: DOI arXiv
Sun, Qing Irrigable measures for weighted irrigation plans. (English) Zbl 1481.49048 Netw. Heterog. Media 16, No. 3, 493-511 (2021). MSC: 49Q20 34A05 34A36 92B05 PDFBibTeX XMLCite \textit{Q. Sun}, Netw. Heterog. Media 16, No. 3, 493--511 (2021; Zbl 1481.49048) Full Text: DOI arXiv
Bonafini, Mauro; Orlandi, Giandomenico; Oudet, Édouard Variational approximation of functionals defined on \(1\)-dimensional connected sets in \(\mathbb{R}^n\). (English) Zbl 1476.49017 Adv. Calc. Var. 14, No. 4, 541-553 (2021). MSC: 49J45 49M25 49M20 49Q15 51E10 PDFBibTeX XMLCite \textit{M. Bonafini} et al., Adv. Calc. Var. 14, No. 4, 541--553 (2021; Zbl 1476.49017) Full Text: DOI arXiv
Downes, Carol Ann A mass reducing flow for real-valued flat chains with applications to transport networks. (English) Zbl 1473.49049 ESAIM, Control Optim. Calc. Var. 27, Paper No. 77, 32 p. (2021). MSC: 49Q22 49Q10 90B06 91B55 PDFBibTeX XMLCite \textit{C. A. Downes}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 77, 32 p. (2021; Zbl 1473.49049) Full Text: DOI
Bressan, Alberto; Galtung, Sondre Tesdal A 2-dimensional shape optimization problem for tree branches. (English) Zbl 1471.49029 Netw. Heterog. Media 16, No. 1, 1-29 (2021). Reviewer: Kamal Mamehrashi (Boukan) MSC: 49Q10 49Q22 49S05 91B76 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{S. T. Galtung}, Netw. Heterog. Media 16, No. 1, 1--29 (2021; Zbl 1471.49029) Full Text: DOI arXiv
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit Strong approximation in \(h\)-mass of rectifiable currents under homological constraint. (English) Zbl 1467.49038 Adv. Calc. Var. 14, No. 3, 343-363 (2021). MSC: 49Q15 49J45 PDFBibTeX XMLCite \textit{A. Chambolle} et al., Adv. Calc. Var. 14, No. 3, 343--363 (2021; Zbl 1467.49038) Full Text: DOI arXiv
Marchese, A.; Massaccesi, A.; Stuvard, S.; Tione, R. A multi-material transport problem with arbitrary marginals. (English) Zbl 1462.49075 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 88, 49 p. (2021). MSC: 49Q22 49Q10 49Q15 49Q20 90B06 PDFBibTeX XMLCite \textit{A. Marchese} et al., Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 88, 49 p. (2021; Zbl 1462.49075) Full Text: DOI arXiv
Carioni, Marcello; Marchese, Andrea; Massaccesi, Annalisa; Pluda, Alessandra; Tione, Riccardo The oriented mailing problem and its convex relaxation. (English) Zbl 1447.49061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112035, 11 p. (2020). MSC: 49Q22 49Q15 53C38 90B06 90B10 PDFBibTeX XMLCite \textit{M. Carioni} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112035, 11 p. (2020; Zbl 1447.49061) Full Text: DOI arXiv
Dietrich, Felix; Kooshkbaghi, Mahdi; Bollt, Erik M.; Kevrekidis, Ioannis G. Manifold learning for organizing unstructured sets of process observations. (English) Zbl 1447.37075 Chaos 30, No. 4, 043108, 9 p. (2020). MSC: 37M99 68Q32 93B47 PDFBibTeX XMLCite \textit{F. Dietrich} et al., Chaos 30, No. 4, 043108, 9 p. (2020; Zbl 1447.37075) Full Text: DOI arXiv
Bressan, Alberto; Galtung, Sondre T.; Reigstad, Audun; Ridder, Johanna Competition models for plant stems. (English) Zbl 1437.49057 J. Differ. Equations 269, No. 2, 1571-1611 (2020). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49Q10 49J15 49N90 91A40 92B05 PDFBibTeX XMLCite \textit{A. Bressan} et al., J. Differ. Equations 269, No. 2, 1571--1611 (2020; Zbl 1437.49057) Full Text: DOI arXiv
Bethuel, Fabrice A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces. (English) Zbl 1433.58009 Invent. Math. 219, No. 2, 507-651 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58C25 46E35 82D15 PDFBibTeX XMLCite \textit{F. Bethuel}, Invent. Math. 219, No. 2, 507--651 (2020; Zbl 1433.58009) Full Text: DOI arXiv
Bressan, Alberto; Palladino, Michele; Sun, Qing Variational problems for tree roots and branches. (English) Zbl 1430.49042 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 7, 31 p. (2020). MSC: 49Q10 35R06 92C80 91B62 PDFBibTeX XMLCite \textit{A. Bressan} et al., Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 7, 31 p. (2020; Zbl 1430.49042) Full Text: DOI arXiv
Chambolle, Antonin; Ferrari, Luca A. D.; Merlet, Benoit Variational approximation of size-mass energies for \(k\)-dimensional currents. (English) Zbl 1437.49061 ESAIM, Control Optim. Calc. Var. 25, Paper No. 43, 39 p. (2019). MSC: 49Q20 49J45 35A35 PDFBibTeX XMLCite \textit{A. Chambolle} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 43, 39 p. (2019; Zbl 1437.49061) Full Text: DOI arXiv
Marchese, Andrea; Massaccesi, Annalisa; Tione, Riccardo A multimaterial transport problem and its convex relaxation via rectifiable \(G\)-currents. (English) Zbl 1422.49040 SIAM J. Math. Anal. 51, No. 3, 1965-1998 (2019). MSC: 49Q10 49Q15 49Q20 53C38 90B06 90B10 PDFBibTeX XMLCite \textit{A. Marchese} et al., SIAM J. Math. Anal. 51, No. 3, 1965--1998 (2019; Zbl 1422.49040) Full Text: DOI arXiv
Marchese, Andrea; Wirth, Benedikt Approximation of rectifiable 1-currents and weak-\(\ast\) relaxation of the \(h\)-mass. (English) Zbl 1426.49047 J. Math. Anal. Appl. 479, No. 2, 2268-2283 (2019). MSC: 49Q20 28A75 49Q15 PDFBibTeX XMLCite \textit{A. Marchese} and \textit{B. Wirth}, J. Math. Anal. Appl. 479, No. 2, 2268--2283 (2019; Zbl 1426.49047) Full Text: DOI arXiv
Colombo, Maria; De Rosa, Antonio; Marchese, Andrea Stability for the mailing problem. (English. French summary) Zbl 1420.49047 J. Math. Pures Appl. (9) 128, 152-182 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 49Q10 49Q15 90B06 90B15 PDFBibTeX XMLCite \textit{M. Colombo} et al., J. Math. Pures Appl. (9) 128, 152--182 (2019; Zbl 1420.49047) Full Text: DOI arXiv
Bergamaschi, L.; Facca, E.; Martínez, Á.; Putti, M. Spectral preconditioners for the efficient numerical solution of a continuous branched transport model. (English) Zbl 1419.65052 J. Comput. Appl. Math. 354, 259-270 (2019). MSC: 65M60 65M06 65N30 65F50 65F08 65F10 65F15 65H17 35Q90 90B06 49J20 PDFBibTeX XMLCite \textit{L. Bergamaschi} et al., J. Comput. Appl. Math. 354, 259--270 (2019; Zbl 1419.65052) Full Text: DOI
Devillanova, Giuseppe; Solimini, Sergio Some remarks on the fractal structure of irrigation balls. (English) Zbl 1412.49080 Adv. Nonlinear Stud. 19, No. 1, 55-68 (2019). MSC: 49Q10 49N60 28A80 PDFBibTeX XMLCite \textit{G. Devillanova} and \textit{S. Solimini}, Adv. Nonlinear Stud. 19, No. 1, 55--68 (2019; Zbl 1412.49080) Full Text: DOI
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit A phase-field approximation of the Steiner problem in dimension two. (English) Zbl 1412.49085 Adv. Calc. Var. 12, No. 2, 157-179 (2019). MSC: 49Q20 49J45 35A35 PDFBibTeX XMLCite \textit{A. Chambolle} et al., Adv. Calc. Var. 12, No. 2, 157--179 (2019; Zbl 1412.49085) Full Text: DOI arXiv HAL
Pegon, Paul; Santambrogio, Filippo; Xia, Qinglan A fractal shape optimization problem in branched transport. (English. French summary) Zbl 1408.49041 J. Math. Pures Appl. (9) 123, 244-269 (2019). MSC: 49Q10 49N60 65K10 28A80 49J52 PDFBibTeX XMLCite \textit{P. Pegon} et al., J. Math. Pures Appl. (9) 123, 244--269 (2019; Zbl 1408.49041) Full Text: DOI arXiv
Bressan, Alberto; Sun, Qing On the optimal shape of tree roots and branches. (English) Zbl 1411.49029 Math. Models Methods Appl. Sci. 28, No. 14, 2763-2801 (2018). MSC: 49Q10 35R06 90B06 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{Q. Sun}, Math. Models Methods Appl. Sci. 28, No. 14, 2763--2801 (2018; Zbl 1411.49029) Full Text: DOI arXiv
Bonafini, Mauro; Orlandi, Giandomenico; Oudet, Édouard Convex relaxation and variational approximation of functionals defined on 1-dimensional connected sets. (English) Zbl 1409.49011 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 29, No. 4, 597-606 (2018). MSC: 49J45 49Q15 49Q20 49M20 65K10 PDFBibTeX XMLCite \textit{M. Bonafini} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 29, No. 4, 597--606 (2018; Zbl 1409.49011) Full Text: DOI
Bonafini, Mauro; Orlandi, Giandomenico; Oudet, Édouard Variational approximation of functionals defined on 1-dimensional connected sets: the planar case. (English) Zbl 1404.49006 SIAM J. Math. Anal. 50, No. 6, 6307-6332 (2018). MSC: 49J45 49Q20 49Q15 49M20 65K10 51E10 PDFBibTeX XMLCite \textit{M. Bonafini} et al., SIAM J. Math. Anal. 50, No. 6, 6307--6332 (2018; Zbl 1404.49006) Full Text: DOI arXiv
Petrache, Mircea; Züst, Roger Coefficient groups inducing nonbranched optimal transport. (English) Zbl 1402.49038 Z. Anal. Anwend. 37, No. 4, 389-416 (2018). MSC: 49Q20 49N15 49Q05 28A75 PDFBibTeX XMLCite \textit{M. Petrache} and \textit{R. Züst}, Z. Anal. Anwend. 37, No. 4, 389--416 (2018; Zbl 1402.49038) Full Text: DOI arXiv
Brancolini, Alessio; Wirth, Benedikt General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary. (English) Zbl 1394.49045 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 82, 1-39 (2018). MSC: 49Q20 49Q10 90B10 PDFBibTeX XMLCite \textit{A. Brancolini} and \textit{B. Wirth}, Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 82, 1--39 (2018; Zbl 1394.49045) Full Text: DOI arXiv
Brancolini, Alessio; Rossmanith, Carolin; Wirth, Benedikt Optimal micropatterns in 2D transport networks and their relation to image inpainting. (English) Zbl 1390.90095 Arch. Ration. Mech. Anal. 228, No. 1, 279-308 (2018). MSC: 90B10 90B06 49Q20 94A08 PDFBibTeX XMLCite \textit{A. Brancolini} et al., Arch. Ration. Mech. Anal. 228, No. 1, 279--308 (2018; Zbl 1390.90095) Full Text: DOI arXiv
Colombo, Maria; De Rosa, Antonio; Marchese, Andrea Improved stability of optimal traffic paths. (English) Zbl 1384.49038 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 28, 33 p. (2018). MSC: 49Q20 49Q10 28A75 90B06 90B20 49K40 PDFBibTeX XMLCite \textit{M. Colombo} et al., Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 28, 33 p. (2018; Zbl 1384.49038) Full Text: DOI arXiv
Colombo, Maria; De Rosa, Antonio; Marchese, Andrea; Stuvard, Salvatore On the lower semicontinuous envelope of functionals defined on polyhedral chains. (English) Zbl 1375.49016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 163, 201-215 (2017). MSC: 49J45 49Q15 PDFBibTeX XMLCite \textit{M. Colombo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 163, 201--215 (2017; Zbl 1375.49016) Full Text: DOI arXiv
Monteil, Antonin Uniform estimates for a Modica-Mortola type approximation of branched transportation. (English) Zbl 1385.49006 ESAIM, Control Optim. Calc. Var. 23, No. 1, 309-335 (2017). MSC: 49J45 90B06 90B18 PDFBibTeX XMLCite \textit{A. Monteil}, ESAIM, Control Optim. Calc. Var. 23, No. 1, 309--335 (2017; Zbl 1385.49006) Full Text: DOI arXiv
Brancolini, Alessio; Wirth, Benedikt Equivalent formulations for the branched transport and urban planning problems. (English. French summary) Zbl 1345.49055 J. Math. Pures Appl. (9) 106, No. 4, 695-724 (2016). MSC: 49Q20 49Q10 90B10 PDFBibTeX XMLCite \textit{A. Brancolini} and \textit{B. Wirth}, J. Math. Pures Appl. (9) 106, No. 4, 695--724 (2016; Zbl 1345.49055) Full Text: DOI arXiv
Marchese, Andrea; Massaccesi, Annalisa An optimal irrigation network with infinitely many branching points. (English) Zbl 1343.49074 ESAIM, Control Optim. Calc. Var. 22, No. 2, 543-561 (2016). Reviewer: Antonio Roberto da Silva (Rio de Janeiro) MSC: 49Q20 49Q15 49N60 53C38 PDFBibTeX XMLCite \textit{A. Marchese} and \textit{A. Massaccesi}, ESAIM, Control Optim. Calc. Var. 22, No. 2, 543--561 (2016; Zbl 1343.49074) Full Text: DOI arXiv
Brancolini, Alessio; Solimini, Sergio Fractal regularity results on optimal irrigation patterns. (English. French summary) Zbl 1302.49063 J. Math. Pures Appl. (9) 102, No. 5, 854-890 (2014). MSC: 49Q20 28A80 PDFBibTeX XMLCite \textit{A. Brancolini} and \textit{S. Solimini}, J. Math. Pures Appl. (9) 102, No. 5, 854--890 (2014; Zbl 1302.49063) Full Text: DOI
Xia, Qinglan On landscape functions associated with transport paths. (English) Zbl 1278.90053 Discrete Contin. Dyn. Syst. 34, No. 4, 1683-1700 (2014). MSC: 90B06 49Q20 PDFBibTeX XMLCite \textit{Q. Xia}, Discrete Contin. Dyn. Syst. 34, No. 4, 1683--1700 (2014; Zbl 1278.90053) Full Text: DOI
Xu, Shaofeng Transport economies of scale and firm location. (English) Zbl 1296.91212 Math. Soc. Sci. 66, No. 3, 337-345 (2013). MSC: 91B72 90B06 PDFBibTeX XMLCite \textit{S. Xu}, Math. Soc. Sci. 66, No. 3, 337--345 (2013; Zbl 1296.91212) Full Text: DOI
Buttazzo, Giuseppe Evolution models for mass transportation problems. (English) Zbl 1255.49076 Milan J. Math. 80, No. 1, 47-63 (2012). MSC: 49Q20 49J45 35F20 76A99 PDFBibTeX XMLCite \textit{G. Buttazzo}, Milan J. Math. 80, No. 1, 47--63 (2012; Zbl 1255.49076) Full Text: DOI arXiv
Brasco, L. A survey on dynamical transport distances. (English. Russian original) Zbl 1348.49047 J. Math. Sci., New York 181, No. 6, 755-781 (2012); reprinted from Zap. Nauchn. Semin. POMI 390, 5-51 (2011). MSC: 49Q20 41A17 60B10 76A02 PDFBibTeX XMLCite \textit{L. Brasco}, J. Math. Sci., New York 181, No. 6, 755--781 (2012; Zbl 1348.49047) Full Text: DOI
Oudet, Edouard; Santambrogio, Filippo A Modica-Mortola approximation for branched transport and applications. (English) Zbl 1263.49062 Arch. Ration. Mech. Anal. 201, No. 1, 115-142 (2011). MSC: 49Q20 49J45 49M30 PDFBibTeX XMLCite \textit{E. Oudet} and \textit{F. Santambrogio}, Arch. Ration. Mech. Anal. 201, No. 1, 115--142 (2011; Zbl 1263.49062) Full Text: DOI Link
Brancolini, Alessio; Solimini, Sergio On the Hölder regularity of the landscape function. (English) Zbl 1220.49022 Interfaces Free Bound. 13, No. 2, 191-222 (2011). MSC: 49N60 49Q20 PDFBibTeX XMLCite \textit{A. Brancolini} and \textit{S. Solimini}, Interfaces Free Bound. 13, No. 2, 191--222 (2011; Zbl 1220.49022) Full Text: DOI
Xia, Qinglan Ramified optimal transportation in geodesic metric spaces. (English) Zbl 1223.49053 Adv. Calc. Var. 4, No. 3, 277-307 (2011). MSC: 49Q20 28E05 90B06 PDFBibTeX XMLCite \textit{Q. Xia}, Adv. Calc. Var. 4, No. 3, 277--307 (2011; Zbl 1223.49053) Full Text: DOI arXiv
Xia, Qinglan Boundary regularity of optimal transport paths. (English) Zbl 1216.49040 Adv. Calc. Var. 4, No. 2, 153-174 (2011). MSC: 49Q20 90B06 49N60 93E20 PDFBibTeX XMLCite \textit{Q. Xia}, Adv. Calc. Var. 4, No. 2, 153--174 (2011; Zbl 1216.49040) Full Text: DOI arXiv
Xia, Qinglan; Xu, Shaofeng The exchange value embedded in a transport system. (English) Zbl 1203.90026 Appl. Math. Optim. 62, No. 2, 229-252 (2010). Reviewer: Vangelis Grigoroudis (Chania) MSC: 90B06 91B42 PDFBibTeX XMLCite \textit{Q. Xia} and \textit{S. Xu}, Appl. Math. Optim. 62, No. 2, 229--252 (2010; Zbl 1203.90026) Full Text: DOI arXiv
Santambrogio, Filippo A Modica-Mortola approximation for branched transport. (Une approximation á la Modica-Mortola pour le transport branché.) (English. Abridged French version) Zbl 1193.90045 C. R., Math., Acad. Sci. Paris 348, No. 15-16, 941-945 (2010). MSC: 90B06 49J45 PDFBibTeX XMLCite \textit{F. Santambrogio}, C. R., Math., Acad. Sci. Paris 348, No. 15--16, 941--945 (2010; Zbl 1193.90045) Full Text: DOI arXiv
Morel, Jean-Michel; Santambrogio, Filippo The regularity of optimal irrigation patterns. (English) Zbl 1185.35300 Arch. Ration. Mech. Anal. 195, No. 2, 499-531 (2010). MSC: 35Q92 35Q86 86A05 92D40 35B35 PDFBibTeX XMLCite \textit{J.-M. Morel} and \textit{F. Santambrogio}, Arch. Ration. Mech. Anal. 195, No. 2, 499--531 (2010; Zbl 1185.35300) Full Text: DOI HAL
Brasco, Lorenzo Curves of minimal action over metric spaces. (English) Zbl 1193.49049 Ann. Mat. Pura Appl. (4) 189, No. 1, 95-125 (2010). MSC: 49Q20 58E10 PDFBibTeX XMLCite \textit{L. Brasco}, Ann. Mat. Pura Appl. (4) 189, No. 1, 95--125 (2010; Zbl 1193.49049) Full Text: DOI
Granieri, Luca Remarks on the stability of mass minimizing currents in the Monge-Kantorovich problem. (English) Zbl 1210.49047 Indag. Math., New Ser. 20, No. 4, 527-536 (2009). MSC: 49Q20 PDFBibTeX XMLCite \textit{L. Granieri}, Indag. Math., New Ser. 20, No. 4, 527--536 (2009; Zbl 1210.49047) Full Text: DOI
Paolini, Emanuele; Stepanov, Eugene Connecting measures by means of branched transportation networks at finite cost. (English. Russian original) Zbl 1219.49039 J. Math. Sci., New York 157, No. 6, 858-873 (2009); translation from Probl. Mat. Anal. 39, 65-79 (2009). MSC: 49Q20 28A99 90B10 PDFBibTeX XMLCite \textit{E. Paolini} and \textit{E. Stepanov}, J. Math. Sci., New York 157, No. 6, 858--873 (2009; Zbl 1219.49039); translation from Probl. Mat. Anal. 39, 65--79 (2009) Full Text: DOI
Herrero, Miguel Á.; Köhn, Álvaro; Pérez-Pomares, José M. Modelling vascular morphogenesis: current views on blood vessels development. (English) Zbl 1180.35286 Math. Models Methods Appl. Sci. 19, Suppl., 1483-1537 (2009). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 35K57 92C05 35Q92 92C17 68Q80 92C15 PDFBibTeX XMLCite \textit{M. Á. Herrero} et al., Math. Models Methods Appl. Sci. 19, 1483--1537 (2009; Zbl 1180.35286) Full Text: DOI
Xia, Qinglan The geodesic problem in quasimetric spaces. (English) Zbl 1200.54013 J. Geom. Anal. 19, No. 2, 452-479 (2009). MSC: 54E25 51F99 49Q20 90B18 PDFBibTeX XMLCite \textit{Q. Xia}, J. Geom. Anal. 19, No. 2, 452--479 (2009; Zbl 1200.54013) Full Text: DOI arXiv
Bernot, Marc; Figalli, Alessio Synchronized traffic plans and stability of optima. (English) Zbl 1148.49039 ESAIM, Control Optim. Calc. Var. 14, No. 4, 864-878 (2008). MSC: 49Q20 90B10 90B06 90B20 PDFBibTeX XMLCite \textit{M. Bernot} and \textit{A. Figalli}, ESAIM, Control Optim. Calc. Var. 14, No. 4, 864--878 (2008; Zbl 1148.49039) Full Text: DOI EuDML
Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel The structure of branched transportation networks. (English) Zbl 1146.49035 Calc. Var. Partial Differ. Equ. 32, No. 3, 279-317 (2008). MSC: 49N60 49Q10 90B10 90B06 90B20 49N90 PDFBibTeX XMLCite \textit{M. Bernot} et al., Calc. Var. Partial Differ. Equ. 32, No. 3, 279--317 (2008; Zbl 1146.49035) Full Text: DOI
Morel, Jean-Michel; Santambrogio, Filippo Comparison of distances between measures. (English) Zbl 1158.49045 Appl. Math. Lett. 20, No. 4, 427-432 (2007). MSC: 49Q20 90B18 60B05 PDFBibTeX XMLCite \textit{J.-M. Morel} and \textit{F. Santambrogio}, Appl. Math. Lett. 20, No. 4, 427--432 (2007; Zbl 1158.49045) Full Text: DOI
Ambrosio, Luigi; Santambrogio, Filippo Necessary optimality conditions for geodesics in weighted Wasserstein spaces. (English) Zbl 1223.35197 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 18, No. 1, 23-37 (2007). MSC: 35K55 47J35 49K99 PDFBibTeX XMLCite \textit{L. Ambrosio} and \textit{F. Santambrogio}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 18, No. 1, 23--37 (2007; Zbl 1223.35197) Full Text: DOI arXiv
Devillanova, G.; Solimini, Sergio On the dimension of an irrigable measure. (English) Zbl 1165.28302 Rend. Semin. Mat. Univ. Padova 117, 1-49 (2007). MSC: 28A78 60A10 49Q20 35Q80 PDFBibTeX XMLCite \textit{G. Devillanova} and \textit{S. Solimini}, Rend. Semin. Mat. Univ. Padova 117, 1--49 (2007; Zbl 1165.28302) Full Text: EuDML
Santambrogio, Filippo Transport and concentration problems with interaction effects. (English) Zbl 1124.49034 J. Glob. Optim. 38, No. 1, 129-141 (2007). MSC: 49Q20 49K40 90B20 49K27 PDFBibTeX XMLCite \textit{F. Santambrogio}, J. Glob. Optim. 38, No. 1, 129--141 (2007; Zbl 1124.49034) Full Text: DOI arXiv
Xia, Qinglan The formation of a tree leaf. (English) Zbl 1114.92048 ESAIM, Control Optim. Calc. Var. 13, No. 2, 359-377 (2007). MSC: 92C80 92C15 49Q20 68U05 PDFBibTeX XMLCite \textit{Q. Xia}, ESAIM, Control Optim. Calc. Var. 13, No. 2, 359--377 (2007; Zbl 1114.92048) Full Text: DOI Numdam EuDML
Devillanova, G.; Solimini, S. Elementary properties of optimal irrigation patterns. (English) Zbl 1111.35093 Calc. Var. Partial Differ. Equ. 28, No. 3, 317-349 (2007). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35Q80 35A15 92C80 PDFBibTeX XMLCite \textit{G. Devillanova} and \textit{S. Solimini}, Calc. Var. Partial Differ. Equ. 28, No. 3, 317--349 (2007; Zbl 1111.35093) Full Text: DOI