Lin, Fang-Hua Relaxed energies, defect measures, and minimal currents. (English) Zbl 1496.58004 Frank, Rupert L. (ed.) et al., The physics and mathematics of Elliott Lieb. The 90th anniversary. Volume II. Berlin: European Mathematical Society (EMS). 19-29 (2022). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 46E35 PDFBibTeX XMLCite \textit{F.-H. Lin}, in: The physics and mathematics of Elliott Lieb. The 90th anniversary. Volume II. Berlin: European Mathematical Society (EMS). 19--29 (2022; Zbl 1496.58004) Full Text: Link
Sidler, Hubert; Wenger, Stefan Harmonic quasi-isometric maps into Gromov hyperbolic \(\operatorname{CAT}(0)\)-spaces. (English) Zbl 1476.53066 J. Differ. Geom. 118, No. 3, 555-572 (2021). MSC: 53C23 53C43 58E20 PDFBibTeX XMLCite \textit{H. Sidler} and \textit{S. Wenger}, J. Differ. Geom. 118, No. 3, 555--572 (2021; Zbl 1476.53066) Full Text: DOI arXiv
Dibble, James Energy-minimizing maps from manifolds with nonnegative Ricci curvature. (English) Zbl 1458.53048 Commun. Contemp. Math. 23, No. 3, Article ID 1950083, 20 p. (2021). MSC: 53C21 53C24 53C22 53C43 PDFBibTeX XMLCite \textit{J. Dibble}, Commun. Contemp. Math. 23, No. 3, Article ID 1950083, 20 p. (2021; Zbl 1458.53048) Full Text: DOI arXiv
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
Ghiraldin, Francesco; Spolaor, Luca On the number of singular points for planar multivalued harmonic functions. (English) Zbl 1393.49027 Manuscr. Math. 154, No. 3-4, 513-525 (2017). Reviewer: Christopher Goodrich (Omaha) MSC: 49N60 PDFBibTeX XMLCite \textit{F. Ghiraldin} and \textit{L. Spolaor}, Manuscr. Math. 154, No. 3--4, 513--525 (2017; Zbl 1393.49027) Full Text: DOI arXiv
Naber, Aaron; Valtorta, Daniele Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps. (English) Zbl 1393.58009 Ann. Math. (2) 185, No. 1, 131-227 (2017). Reviewer: Gabjin Yun (Yongin) MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{A. Naber} and \textit{D. Valtorta}, Ann. Math. (2) 185, No. 1, 131--227 (2017; Zbl 1393.58009) Full Text: DOI arXiv
Gell-Redman, Jesse Harmonic maps of conic surfaces with cone angles less than \(2\pi\). (English) Zbl 1334.53062 Commun. Anal. Geom. 23, No. 4, 717-796 (2015). Reviewer: Gabjin Yun (Yongin) MSC: 53C43 53C21 53C23 PDFBibTeX XMLCite \textit{J. Gell-Redman}, Commun. Anal. Geom. 23, No. 4, 717--796 (2015; Zbl 1334.53062) Full Text: DOI arXiv
Farouki, Rida T.; Han, Chang Yong; Dospra, Petroula; Sakkalis, Takis Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants. (English) Zbl 1286.65021 Comput. Aided Geom. Des. 30, No. 7, 653-671 (2013). MSC: 65D17 70E15 65D05 42C15 70E60 PDFBibTeX XMLCite \textit{R. T. Farouki} et al., Comput. Aided Geom. Des. 30, No. 7, 653--671 (2013; Zbl 1286.65021) Full Text: DOI Link
Tachikawa, Atsushi \(C^{1,\alpha}\)-regularity of energy minimizing maps from a 2-dimensional domain into a Finsler space. (English) Zbl 1280.49059 Houston J. Math. 39, No. 4, 1175-1186 (2013). MSC: 49N60 58E20 35B65 53C60 PDFBibTeX XMLCite \textit{A. Tachikawa}, Houston J. Math. 39, No. 4, 1175--1186 (2013; Zbl 1280.49059) Full Text: arXiv
Germain, Pierre; Rupflin, Melanie Selfsimilar expanders of the harmonic map flow. (English) Zbl 1246.35059 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 5, 743-773 (2011). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35C06 35B35 PDFBibTeX XMLCite \textit{P. Germain} and \textit{M. Rupflin}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 5, 743--773 (2011; Zbl 1246.35059) Full Text: DOI arXiv
Kourouma, Moussa Existence and partial regularity of harmonic maps with values in a length space with upper curvature bound. (English) Zbl 1220.53077 Afr. Mat., Sér. III 19, 119-138 (2008). Reviewer: Gabjin Yun (Yongin) MSC: 53C43 58E20 53C70 PDFBibTeX XMLCite \textit{M. Kourouma}, Afr. Mat., Sér. III 19, 119--138 (2008; Zbl 1220.53077)
Bourgoin, Jean-Christophe On the minimality of the \(p\)-harmonic map \(x/\|x\|\) for weighted energy. (English) Zbl 1120.58011 Ann. Global Anal. Geom. 32, No. 1, 1-13 (2007). MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{J.-C. Bourgoin}, Ann. Global Anal. Geom. 32, No. 1, 1--13 (2007; Zbl 1120.58011) Full Text: DOI
Bourgoin, Jean-Christophe The minimality of the map \(\frac{x}{\| x \|}\) for weighted energy. (English) Zbl 1091.58008 Calc. Var. Partial Differ. Equ. 25, No. 4, 469-489 (2006). MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{J.-C. Bourgoin}, Calc. Var. Partial Differ. Equ. 25, No. 4, 469--489 (2006; Zbl 1091.58008) Full Text: DOI arXiv
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)
Mese, Chikako Harmonic maps into spaces with an upper curvature bound in the sense of Alexandrov. (English) Zbl 1044.58021 Math. Z. 242, No. 4, 633-661 (2002). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 58E20 53C45 53C23 PDFBibTeX XMLCite \textit{C. Mese}, Math. Z. 242, No. 4, 633--661 (2002; Zbl 1044.58021) Full Text: DOI
Mese, Chikako Harmonic maps between surfaces and Teichmüller spaces. (English) Zbl 1016.58003 Am. J. Math. 124, No. 3, 451-481 (2002). Reviewer: Andreas Gastel (Düsseldorf) MSC: 58E20 32G15 PDFBibTeX XMLCite \textit{C. Mese}, Am. J. Math. 124, No. 3, 451--481 (2002; Zbl 1016.58003) Full Text: DOI Link
Sturm, Karl-Theodor Nonlinear Markov operators, discrete heat flow, and harmonic maps between singular spaces. (English) Zbl 1049.31010 Potential Anal. 16, No. 4, 305-340 (2002). Reviewer: Wolfhard Hansen (Bielefeld) MSC: 31C25 58E20 58J99 60J05 60J45 PDFBibTeX XMLCite \textit{K.-T. Sturm}, Potential Anal. 16, No. 4, 305--340 (2002; Zbl 1049.31010) Full Text: DOI
Chen, Jingyi Harmonic mappings from Riemann surfaces. (English) Zbl 0976.53070 Anand, C. K. (ed.) et al., Harmonic morphisms, harmonic maps, and related topics. Proceedings of the conference, Brest, France, July 7-11, 1997. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 413, 153-158 (2000). Reviewer: T.Okubo (Victoria) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Chen}, Chapman Hall/CRC Res. Notes Math. 413, 153--158 (2000; Zbl 0976.53070)
Montaldo, S. A minimising property of the radial projection. (English) Zbl 0968.58011 Rend. Semin. Mat., Torino 56, No. 2, 55-58 (1998). Reviewer: W.Mozgawa (Lublin) MSC: 58E20 PDFBibTeX XMLCite \textit{S. Montaldo}, Rend. Semin. Mat., Torino 56, No. 2, 55--58 (1998; Zbl 0968.58011) Full Text: EuDML
Hardt, Robert M. Singularities of harmonic maps. (English) Zbl 0871.58026 Bull. Am. Math. Soc., New Ser. 34, No. 1, 15-34 (1997). Reviewer: Shen Yi-Bing (Hangzhou) MSC: 58E20 35J45 35J50 PDFBibTeX XMLCite \textit{R. M. Hardt}, Bull. Am. Math. Soc., New Ser. 34, No. 1, 15--34 (1997; Zbl 0871.58026) Full Text: DOI
Shi, Yuguang A partial regularity result of harmonic maps from manifolds with bounded measurable Riemannian metrics. (English) Zbl 0864.58014 Commun. Anal. Geom. 4, No. 1, 121-128 (1996). Reviewer: Pan Yanglian (Shanghai) MSC: 58E20 35B65 PDFBibTeX XMLCite \textit{Y. Shi}, Commun. Anal. Geom. 4, No. 1, 121--128 (1996; Zbl 0864.58014) Full Text: DOI
Kuwert, Ernst Harmonic maps between flat surfaces with conical singularities. (English) Zbl 0871.58028 Math. Z. 221, No. 3, 421-436 (1996). Reviewer: Shen Yi-Bing (Hangzhou) MSC: 58E20 PDFBibTeX XMLCite \textit{E. Kuwert}, Math. Z. 221, No. 3, 421--436 (1996; Zbl 0871.58028) Full Text: DOI EuDML
Wang, Shiah-Sen \(p\)-Dirichlet energy minimizing maps into a complete manifold. (English) Zbl 0854.58015 Mich. Math. J. 43, No. 1, 33-49 (1996). Reviewer: V.Pavlenko (Chelyabinsk) MSC: 58E20 58J05 55P15 PDFBibTeX XMLCite \textit{S.-S. Wang}, Mich. Math. J. 43, No. 1, 33--49 (1996; Zbl 0854.58015) Full Text: DOI
Duzaar, Frank; Grotowski, Joseph F. A mixed boundary value problem for energy minimizing harmonic maps. (English) Zbl 0853.58035 Math. Z. 221, No. 1, 153-167 (1996). Reviewer: J.Eells (Cambridge) MSC: 58E20 PDFBibTeX XMLCite \textit{F. Duzaar} and \textit{J. F. Grotowski}, Math. Z. 221, No. 1, 153--167 (1996; Zbl 0853.58035) Full Text: DOI EuDML
Chen, Jingyi On energy minimizing mappings between and into singular spaces. (English) Zbl 0855.58015 Duke Math. J. 79, No. 1, 77-99 (1995). Reviewer: G.Tóth (Camden) MSC: 58E20 53C20 PDFBibTeX XMLCite \textit{J. Chen}, Duke Math. J. 79, No. 1, 77--99 (1995; Zbl 0855.58015) Full Text: DOI
Duzaar, Frank; Grotowski, Joseph F. Energy minimizing harmonic maps with an obstacle at the free boundary. (English) Zbl 0805.58019 Manuscr. Math. 83, No. 3-4, 291-314 (1994). Reviewer: J.Eells (Cambridge) MSC: 58E20 PDFBibTeX XMLCite \textit{F. Duzaar} and \textit{J. F. Grotowski}, Manuscr. Math. 83, No. 3--4, 291--314 (1994; Zbl 0805.58019) Full Text: DOI EuDML
Fujioka, Atsushi Minimizing tangent maps from 3-ball to complex projective spaces. (English) Zbl 0787.53061 J. Fac. Sci., Univ. Tokyo, Sect. I A 40, No. 1, 125-139 (1993). Reviewer: M.Grüter (Saarbrücken) MSC: 53C55 58E20 PDFBibTeX XMLCite \textit{A. Fujioka}, J. Fac. Sci., Univ. Tokyo, Sect. I A 40, No. 1, 125--139 (1993; Zbl 0787.53061)
Wang, Guofang Non-symmetric harmonic maps from annuli to 2-sphere. (English. Abridged French version) Zbl 0756.31005 C. R. Acad. Sci., Paris, Sér. I 315, No. 6, 699-702 (1992). MSC: 31B05 49Q05 PDFBibTeX XMLCite \textit{G. Wang}, C. R. Acad. Sci., Paris, Sér. I 315, No. 6, 699--702 (1992; Zbl 0756.31005)
Shin, Heayong Degree 1 singularities of energy minimizing maps to a bumpy sphere. (English) Zbl 0735.58014 Math. Ann. 293, No. 3, 509-522 (1992). Reviewer: H.Shin MSC: 58E20 58E15 PDFBibTeX XMLCite \textit{H. Shin}, Math. Ann. 293, No. 3, 509--522 (1992; Zbl 0735.58014) Full Text: DOI EuDML
Xin, Yuanglong Regularity of harmonic maps into positively curved manifolds. (English) Zbl 0785.53037 Chin. Ann. Math., Ser. B 13, No. 4, 385-395 (1992). Reviewer: V.Pavlenko (Chelyabinsk) MSC: 53C20 58E20 PDFBibTeX XMLCite \textit{Y. Xin}, Chin. Ann. Math., Ser. B 13, No. 4, 385--395 (1992; Zbl 0785.53037)
Hardt, Robert; Lin, Fang-Hua The singular set of an energy minimizing map from \(B^ 4\) to \(S^ 2\). (English) Zbl 0713.58006 Manuscr. Math. 69, No. 3, 275-289 (1990). Reviewer: A.Ratto MSC: 58E20 49Q15 PDFBibTeX XMLCite \textit{R. Hardt} and \textit{F.-H. Lin}, Manuscr. Math. 69, No. 3, 275--289 (1990; Zbl 0713.58006) Full Text: DOI EuDML
McIntosh, Robert; Simon, Leon Perturbing away singularities of harmonic maps. (English) Zbl 0702.49037 Manuscr. Math. 67, No. 2, 113-124 (1990). MSC: 49Q12 58E20 49Q05 49Q20 PDFBibTeX XMLCite \textit{R. McIntosh} and \textit{L. Simon}, Manuscr. Math. 67, No. 2, 113--124 (1990; Zbl 0702.49037) Full Text: DOI EuDML
Hélein, Frédéric Harmonic diffeomorphisms between Riemannian manifolds. (English) Zbl 0738.58015 Variational methods, Proc. Conf., Paris/Fr. 1988, Prog. Nonlinear Differ. Equ. Appl. 4, 309-318 (1990). MSC: 58E20 53C43 53C20 35J50 PDFBibTeX XMLCite \textit{F. Hélein}, in: Relaxed energies for harmonic maps. . 309--318 (1990; Zbl 0738.58015)
Coron, Jean-Michel; Helein, F. Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. (English) Zbl 0686.58012 Compos. Math. 69, No. 2, 175-228 (1989). Reviewer: D.Motreanu MSC: 58E20 58E30 53C42 PDFBibTeX XMLCite \textit{J.-M. Coron} and \textit{F. Helein}, Compos. Math. 69, No. 2, 175--228 (1989; Zbl 0686.58012) Full Text: Numdam EuDML
Hardt, Robert; Lin, Fanghau Stability of singularities of minimizing harmonic maps. (English) Zbl 0673.58016 J. Differ. Geom. 29, No. 1, 113-123 (1989). Reviewer: P.Baird MSC: 58E20 53C42 PDFBibTeX XMLCite \textit{R. Hardt} and \textit{F. Lin}, J. Differ. Geom. 29, No. 1, 113--123 (1989; Zbl 0673.58016) Full Text: DOI
Wolf, Michael The Teichmüller theory of harmonic maps. (English) Zbl 0655.58009 J. Differ. Geom. 29, No. 2, 449-479 (1989). Reviewer: M.Wolf MSC: 58E20 PDFBibTeX XMLCite \textit{M. Wolf}, J. Differ. Geom. 29, No. 2, 449--479 (1989; Zbl 0655.58009) Full Text: DOI
Gulliver, Robert; White, Brian The rate of convergence of a harmonic map at a singular point. (English) Zbl 0645.58018 Math. Ann. 283, No. 4, 539-549 (1989). Reviewer: R.Gulliver MSC: 58E20 58C25 58K99 PDFBibTeX XMLCite \textit{R. Gulliver} and \textit{B. White}, Math. Ann. 283, No. 4, 539--549 (1989; Zbl 0645.58018) Full Text: DOI EuDML
Almgren, Frederick J. jun.; Lieb, Elliot H. Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds. (English) Zbl 0673.58013 Ann. Math. (2) 128, No. 3, 483-530 (1988). Reviewer: D.Motreanu MSC: 58E20 58C99 82D30 28A99 PDFBibTeX XMLCite \textit{F. J. Almgren jun.} and \textit{E. H. Lieb}, Ann. Math. (2) 128, No. 3, 483--530 (1988; Zbl 0673.58013) Full Text: DOI
Lin, Fang-Hua Une remarque sur l’application x/\(| x|\). (A remark on the map x/\(| x|)\). (English) Zbl 0652.58022 C. R. Acad. Sci., Paris, Sér. I 305, 529-531 (1987). MSC: 58E20 PDFBibTeX XMLCite \textit{F.-H. Lin}, C. R. Acad. Sci., Paris, Sér. I 305, 529--531 (1987; Zbl 0652.58022)
Takakuwa, Shôichirô On removable singularities of stationary harmonic maps. (English) Zbl 0598.58017 J. Fac. Sci., Univ. Tokyo, Sect. I A 32, 373-395 (1985). Reviewer: W.Kugler MSC: 58E20 58E30 PDFBibTeX XMLCite \textit{S. Takakuwa}, J. Fac. Sci., Univ. Tokyo, Sect. I A 32, 373--395 (1985; Zbl 0598.58017)
White, Brian Homotopy classes in Sobolev spaces and energy minimizing maps. (English) Zbl 0595.58011 Bull. Am. Math. Soc., New Ser. 13, 166-168 (1985). Reviewer: Shen Yibing MSC: 58E20 55P10 46E35 PDFBibTeX XMLCite \textit{B. White}, Bull. Am. Math. Soc., New Ser. 13, 166--168 (1985; Zbl 0595.58011) Full Text: DOI
Solomon, Bruce Harmonic maps to spheres. (English) Zbl 0589.58035 J. Differ. Geom. 21, 151-162 (1985). Reviewer: J.Danesova MSC: 58J60 58E20 53C20 PDFBibTeX XMLCite \textit{B. Solomon}, J. Differ. Geom. 21, 151--162 (1985; Zbl 0589.58035) Full Text: DOI
Xin, Yuanlong Nonexistence and existence for harmonic maps in Riemannian manifolds. (English) Zbl 0656.53040 Differential geometry and differential equations, Proc. Symp., Shanghai/China 1981, 529-538 (1984). Reviewer: Pan Yanglian MSC: 53C20 58E20 53C42 PDFBibTeX XML
Uhlenbeck, Karen K. Variational problems for gauge fields. (English) Zbl 0481.58016 Semin. differential geometry, Ann. Math. Stud. 102, 455-464 (1982). MSC: 58E05 58E20 53C80 81T08 70H25 PDFBibTeX XML
Futaki, Akito Nonexistence of minimizing harmonic maps from 2-spheres. (English) Zbl 0521.58022 Proc. Japan Acad., Ser. A 56, 291-293 (1980). MSC: 58E20 53C55 PDFBibTeX XMLCite \textit{A. Futaki}, Proc. Japan Acad., Ser. A 56, 291--293 (1980; Zbl 0521.58022) Full Text: DOI