Cheng, Da Rong Stable solutions to the abelian Yang-Mills-Higgs equations on \(S^2\) and \(T^2\). (English) Zbl 1477.32034 J. Geom. Anal. 31, No. 10, 9551-9572 (2021). MSC: 32L05 53C07 PDF BibTeX XML Cite \textit{D. R. Cheng}, J. Geom. Anal. 31, No. 10, 9551--9572 (2021; Zbl 1477.32034) Full Text: DOI arXiv
Bogdanov, L. V. Dispersionless integrable systems and the Bogomolny equations on an Einstein-Weyl geometry background. (English. Russian original) Zbl 1453.81047 Theor. Math. Phys. 205, No. 1, 1279-1290 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 41-54 (2020). MSC: 81T13 81V22 81T20 53C25 37K10 PDF BibTeX XML Cite \textit{L. V. Bogdanov}, Theor. Math. Phys. 205, No. 1, 1279--1290 (2020; Zbl 1453.81047); translation from Teor. Mat. Fiz. 205, No. 1, 41--54 (2020) Full Text: DOI arXiv
Taujanskas, Grigalius Large data decay of Yang-Mills-Higgs fields on Minkowski and de Sitter spacetimes. (English) Zbl 1451.58005 J. Math. Phys. 60, No. 12, 121504, 17 p. (2019). MSC: 58E15 58J45 81T13 PDF BibTeX XML Cite \textit{G. Taujanskas}, J. Math. Phys. 60, No. 12, 121504, 17 p. (2019; Zbl 1451.58005) Full Text: DOI arXiv
Yang, Shiwu; Yu, Pin On global dynamics of the Maxwell-Klein-Gordon equations. (English) Zbl 1427.35221 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 43, 473-488 (2019). MSC: 35Q40 81T13 35Q60 78A35 35B40 PDF BibTeX XML Cite \textit{S. Yang} and \textit{P. Yu}, Adv. Lect. Math. (ALM) 43, 473--488 (2019; Zbl 1427.35221) Full Text: arXiv
Volkov, Boris O. Lévy differential operators and gauge invariant equations for Dirac and Higgs fields. (English) Zbl 1509.70033 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 1, Article ID 1950001, 20 p. (2019). MSC: 70S15 81V05 PDF BibTeX XML Cite \textit{B. O. Volkov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 1, Article ID 1950001, 20 p. (2019; Zbl 1509.70033) Full Text: DOI arXiv
Nian, Jun Note on nonlinear Schrödinger equation, KdV equation and 2D topological Yang-Mills-Higgs theory. (English) Zbl 1415.81045 Int. J. Mod. Phys. A 34, No. 15, Article ID 1950074, 20 p. (2019). MSC: 81T13 35Q55 35Q53 81T45 PDF BibTeX XML Cite \textit{J. Nian}, Int. J. Mod. Phys. A 34, No. 15, Article ID 1950074, 20 p. (2019; Zbl 1415.81045) Full Text: DOI arXiv
Chruściel, Piotr T.; Delay, Erwann; Klinger, Paul Non-singular spacetimes with a negative cosmological constant. IV: Stationary black hole solutions with matter fields. (English) Zbl 1382.83051 Classical Quantum Gravity 35, No. 3, Article ID 035007, 15 p. (2018). MSC: 83C57 83C75 83C15 83D05 81T13 58J28 53Z05 PDF BibTeX XML Cite \textit{P. T. Chruściel} et al., Classical Quantum Gravity 35, No. 3, Article ID 035007, 15 p. (2018; Zbl 1382.83051) Full Text: DOI arXiv
Gußmann, Alexander Scattering of massless scalar waves by magnetically charged black holes in Einstein-Yang-Mills-Higgs theory. (English) Zbl 1368.83020 Classical Quantum Gravity 34, No. 6, Article ID 065007, 19 p. (2017). MSC: 83C10 83C57 81T13 83C22 PDF BibTeX XML Cite \textit{A. Gußmann}, Classical Quantum Gravity 34, No. 6, Article ID 065007, 19 p. (2017; Zbl 1368.83020) Full Text: DOI arXiv
Pecher, Hartmut Local well-posedness for the \((n + 1)\)-dimensional Yang-Mills and Yang-Mills-Higgs system in temporal gauge. (English) Zbl 1360.35210 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 4, Paper No. 40, 31 p. (2016). Reviewer: Joseph Shomberg (Providence) MSC: 35Q40 35L70 81T13 PDF BibTeX XML Cite \textit{H. Pecher}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 4, Paper No. 40, 31 p. (2016; Zbl 1360.35210) Full Text: DOI arXiv
Han, Xiaosen; Lin, Chang-Shou; Yang, Yisong Resolution of Chern-Simons-Higgs vortex equations. (English) Zbl 1339.35258 Commun. Math. Phys. 343, No. 2, 701-724 (2016). MSC: 35Q40 81T13 PDF BibTeX XML Cite \textit{X. Han} et al., Commun. Math. Phys. 343, No. 2, 701--724 (2016; Zbl 1339.35258) Full Text: DOI arXiv
Tesfahun, Achenef Finite energy local well-posedness for the Yang-Mills-Higgs equations in Lorenz gauge. (English) Zbl 1321.35185 Int. Math. Res. Not. 2015, No. 13, 5140-5161 (2015). MSC: 35Q41 81T13 76S05 PDF BibTeX XML Cite \textit{A. Tesfahun}, Int. Math. Res. Not. 2015, No. 13, 5140--5161 (2015; Zbl 1321.35185) Full Text: DOI arXiv
Teh, Rosy; Ng, Ban-Loong; Wong, Khai-Ming The one and a half monopoles solution of the \(\mathrm{SU}(2)\) Yang-Mills-Higgs field theory. (English) Zbl 1303.81124 Ann. Phys. 343, 1-15 (2014). MSC: 81T13 81T30 81Q05 PDF BibTeX XML Cite \textit{R. Teh} et al., Ann. Phys. 343, 1--15 (2014; Zbl 1303.81124) Full Text: DOI
Dorigoni, Daniele; Rink, Norman A. A ladder of topologically non-trivial non-BPS states. (English) Zbl 1305.81110 J. Geom. Phys. 86, 31-42 (2014). MSC: 81T13 16G20 81V22 81T60 32J27 PDF BibTeX XML Cite \textit{D. Dorigoni} and \textit{N. A. Rink}, J. Geom. Phys. 86, 31--42 (2014; Zbl 1305.81110) Full Text: DOI arXiv
Tadmon, Calvin On the constraints problem for the Einstein-Yang-Mills-Higgs system. (English) Zbl 1304.35682 J. Fixed Point Theory Appl. 14, No. 2, 419-456 (2013). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q75 35L15 35L70 46E35 46J10 81T13 83C10 83C20 PDF BibTeX XML Cite \textit{C. Tadmon}, J. Fixed Point Theory Appl. 14, No. 2, 419--456 (2013; Zbl 1304.35682) Full Text: DOI
Tadmon, Calvin A convenient explicit reduction of Einstein equations in harmonic gauge: Connection with wave maps type equations. (English) Zbl 1353.35210 Afr. J. Math. Phys. 10, No. 1, 1-20 (2011). MSC: 35L70 46E35 46J10 81T13 83C22 83C10 83C20 PDF BibTeX XML Cite \textit{C. Tadmon}, Afr. J. Math. Phys. 10, No. 1, 1--20 (2011; Zbl 1353.35210)
Tadmon, Calvin Global solutions, and their decay properties, of the spherically symmetric \(\mathfrak {su}(2)\)-Einstein-Yang-Mills-Higgs equations. (English. Abridged French version) Zbl 1232.35168 C. R., Math., Acad. Sci. Paris 349, No. 19-20, 1067-1072 (2011). Reviewer: Akira Asada (Takarazuka) MSC: 35Q75 35Q40 81T13 83C05 PDF BibTeX XML Cite \textit{C. Tadmon}, C. R., Math., Acad. Sci. Paris 349, No. 19--20, 1067--1072 (2011; Zbl 1232.35168) Full Text: DOI
Biswas, Indranil; Hurtubise, Jacques Projective structures and Higgs bundles on surfaces. (English) Zbl 1226.14044 Int. J. Geom. Methods Mod. Phys. 8, No. 2, 367-379 (2011). Reviewer: André Oliveira (Vila Real) MSC: 14H60 57M50 14F05 32G13 32G15 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{J. Hurtubise}, Int. J. Geom. Methods Mod. Phys. 8, No. 2, 367--379 (2011; Zbl 1226.14044) Full Text: DOI
Radu, Eugen; Tchrakian, D. H. Gravitating Yang-Mills fields in all dimensions. (English) Zbl 1231.83007 Yang, Yisong (ed.) et al., Perspectives in mathematical sciences. Hackensack, NJ: World Scientific (ISBN 978-981-4289-30-6/hbk). Interdisciplinary Mathematical Sciences 9, 211-239 (2010). Reviewer: Michael Keyl (Braunschweig) MSC: 83C15 83E30 81T13 70S15 81T30 83-08 83C40 PDF BibTeX XML Cite \textit{E. Radu} and \textit{D. H. Tchrakian}, Interdiscip. Math. Sci. 9, 211--239 (2010; Zbl 1231.83007) Full Text: arXiv
Dossa, Marcel; Tadmon, Calvin The characteristic initial value problem for the Einstein-Yang-Mills-Higgs system in weighted Sobolev spaces. (English) Zbl 1205.35162 AMRX, Appl. Math. Res. Express 2010, 154-231 (2010). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L52 35L51 35L55 35L56 83C05 83D05 47H10 PDF BibTeX XML Cite \textit{M. Dossa} and \textit{C. Tadmon}, AMRX, Appl. Math. Res. Express 2010, 154--231 (2010; Zbl 1205.35162) Full Text: DOI
Kagramanova, Valeria; Kunz, Jutta; Lämmerzahl, Claus Orbits in the field of a gravitating magnetic monopole. (English) Zbl 1145.83008 Gen. Relativ. Gravitation 40, No. 6, 1249-1278 (2008). MSC: 83C10 83C50 PDF BibTeX XML Cite \textit{V. Kagramanova} et al., Gen. Relativ. Gravitation 40, No. 6, 1249--1278 (2008; Zbl 1145.83008) Full Text: DOI arXiv
Wang, Yue; Zhang, Xi The coupled Yang-Mills-Higgs flow. (English) Zbl 1148.58006 J. Math. Anal. Appl. 339, No. 1, 153-174 (2008). Reviewer: Andreas Gastel (Erlangen) MSC: 58E15 53C44 53B15 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{X. Zhang}, J. Math. Anal. Appl. 339, No. 1, 153--174 (2008; Zbl 1148.58006) Full Text: DOI
Tarantello, Gabriella Self-dual gauge field vortices. An analytical approach. (English) Zbl 1177.58011 Progress in Nonlinear Differential Equations and Their Applications 72. Basel: Birkhäuser (ISBN 978-0-8176-4310-2/hbk). xiv, 325 p. (2008). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 58E05 35-02 58-02 35J20 35J60 35Q40 58J05 81T13 PDF BibTeX XML Cite \textit{G. Tarantello}, Self-dual gauge field vortices. An analytical approach. Basel: Birkhäuser (2008; Zbl 1177.58011)
Stuart, David M. A. Analysis of the adiabatic limit for solitons in classical field theory. (English) Zbl 1130.70013 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2087, 2753-2781 (2007). MSC: 70S15 35Q51 35Q53 PDF BibTeX XML Cite \textit{D. M. A. Stuart}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2087, 2753--2781 (2007; Zbl 1130.70013) Full Text: DOI
Frauenfelder, Urs Vortices on the cylinder. (English) Zbl 1119.58010 Int. Math. Res. Not. 2006, No. 14, Article ID 63130, 34 p. (2006). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 58E15 PDF BibTeX XML Cite \textit{U. Frauenfelder}, Int. Math. Res. Not. 2006, No. 14, Article ID 63130, 34 p. (2006; Zbl 1119.58010) Full Text: DOI arXiv
Künzle, H. P.; Oliynyk, Todd A. Spherical symmetry of generalized EYMH fields. (English) Zbl 1097.81030 J. Geom. Phys. 56, No. 9, 1856-1874 (2006). MSC: 81Q20 53C07 83C22 PDF BibTeX XML Cite \textit{H. P. Künzle} and \textit{T. A. Oliynyk}, J. Geom. Phys. 56, No. 9, 1856--1874 (2006; Zbl 1097.81030) Full Text: DOI arXiv
Hong, Minchun; Tian, Gang Global existence of the \(m\)-equivariant Yang-Mills flow in four-dimensional spaces. (English) Zbl 1068.58006 Commun. Anal. Geom. 12, No. 1-2, 183-211 (2004). Reviewer: Witold Mozgawa (Lublin) MSC: 58E15 81T13 53C44 53C07 PDF BibTeX XML Cite \textit{M. Hong} and \textit{G. Tian}, Commun. Anal. Geom. 12, No. 1--2, 183--211 (2004; Zbl 1068.58006) Full Text: DOI Euclid
Hong, Min-Chun; Tian, Gang Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections. (English) Zbl 1073.53084 Math. Ann. 330, No. 3, 441-472 (2004). Reviewer: Witold Mozgawa (Lublin) MSC: 53C44 53C07 58E15 PDF BibTeX XML Cite \textit{M.-C. Hong} and \textit{G. Tian}, Math. Ann. 330, No. 3, 441--472 (2004; Zbl 1073.53084) Full Text: DOI
Ioannidou, Theodora Nontrivial soliton scattering in planar integrable systems. (English) Zbl 1046.35091 Int. J. Mod. Phys. A 18, No. 27, 4975-4998 (2003). MSC: 35Q40 37K05 81T10 37K40 PDF BibTeX XML Cite \textit{T. Ioannidou}, Int. J. Mod. Phys. A 18, No. 27, 4975--4998 (2003; Zbl 1046.35091) Full Text: DOI arXiv
van der Bij, J. J.; Radu, Eugen On rotating regular non-abelian solutions. (English) Zbl 1006.81094 Int. J. Mod. Phys. A 17, No. 11, 1477-1489 (2002). MSC: 81V19 81V17 PDF BibTeX XML Cite \textit{J. J. van der Bij} and \textit{E. Radu}, Int. J. Mod. Phys. A 17, No. 11, 1477--1489 (2002; Zbl 1006.81094) Full Text: DOI arXiv
Zhou, Zixiang Relation between the solitons of Yang-Mills-Higgs fields in \(2+1\) dimensional Minkowski space-time and anti-de Sitter space-time. (English) Zbl 1012.81038 J. Math. Phys. 42, No. 10, 4938-4946 (2001). MSC: 81T20 81T13 37K25 83C15 35Q51 81R12 PDF BibTeX XML Cite \textit{Z. Zhou}, J. Math. Phys. 42, No. 10, 4938--4946 (2001; Zbl 1012.81038) Full Text: DOI arXiv
Dossa, Marcel; Bah, Souleymane Solutions of semilinear hyperbolic Cauchy problems with initial data on a characteristic conoid. (Solutions de problèmes de Cauchy semi-linéaires hyperboliques sur un conoïde caractéristique.) (French. Abridged English version) Zbl 0983.35091 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 3, 179-184 (2001). MSC: 35L70 35L15 PDF BibTeX XML Cite \textit{M. Dossa} and \textit{S. Bah}, C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 3, 179--184 (2001; Zbl 0983.35091) Full Text: DOI
Fang, Yi; Hong, Minchun Heat flow for Yang-Mills-Higgs fields. II. (English) Zbl 0980.58013 Chin. Ann. Math., Ser. B 22, No. 2, 211-222 (2001). MSC: 58J35 35K55 53C05 PDF BibTeX XML Cite \textit{Y. Fang} and \textit{M. Hong}, Chin. Ann. Math., Ser. B 22, No. 2, 211--222 (2001; Zbl 0980.58013) Full Text: DOI
Schroers, B. J. Nonabelian dyons. (English) Zbl 0967.81043 MacKenzie, R. (ed.) et al., Solitons. Properties, dynamics, interactions, applications. Papers from the workshop, Kingston, Ont., Canada, July 20-26, 1997. New York, NY: Springer. CRM Series in Mathematical Physics. 225-233 (2000). MSC: 81T13 35Q51 81V15 PDF BibTeX XML Cite \textit{B. J. Schroers}, in: Solitons. Properties, dynamics, interactions, applications. Papers from the workshop, Kingston, Ont., Canada, July 20--26, 1997. New York, NY: Springer. 225--233 (2000; Zbl 0967.81043) Full Text: arXiv
Naber, Gregory L. Dirac and Seiberg-Witten monopoles. (English) Zbl 0985.53019 Mladenov, I. M. (ed.) et al., Proceedings of the international conference on geometry, integrability and quantization, Varna, Bulgaria, September 1-10, 1999. Sofia: Coral Press Scientific Publishing. 181-199 (2000). Reviewer: Jürgen Tolksdorf (Mannheim) MSC: 53C07 57R57 53C50 81T13 58E15 PDF BibTeX XML Cite \textit{G. L. Naber}, in: Proceedings of the international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, September 1--10, 1999. Sofia: Coral Press Scientific Publishing. 181--199 (2000; Zbl 0985.53019)
Fang, Yi; Hong, Minchun Heat flow for Yang-Mills-Higgs fields. I. (English) Zbl 0966.58017 Chin. Ann. Math., Ser. B 21, No. 4, 453-472 (2000). MSC: 58J35 35K55 53C05 PDF BibTeX XML Cite \textit{Y. Fang} and \textit{M. Hong}, Chin. Ann. Math., Ser. B 21, No. 4, 453--472 (2000; Zbl 0966.58017) Full Text: DOI
Breitenlohner, P.; Forgács, P.; Maison, D. Static cosmological solutions of the Einstein-Yang-Mills-Higgs equations. (English) Zbl 1055.83514 Phys. Lett., B 489, No. 3-4, 397-402 (2000). MSC: 83F05 83E05 83C15 81T13 PDF BibTeX XML Cite \textit{P. Breitenlohner} et al., Phys. Lett., B 489, No. 3--4, 397--402 (2000; Zbl 1055.83514) Full Text: DOI arXiv
Rácz, István On further generalization of the rigidity theorem for spacetimes with a stationary event horizon or a compact Cauchy horizon. (English) Zbl 0961.83003 Classical Quantum Gravity 17, No. 1, 153-178 (2000). MSC: 83C05 81T13 83C22 PDF BibTeX XML Cite \textit{I. Rácz}, Classical Quantum Gravity 17, No. 1, 153--178 (2000; Zbl 0961.83003) Full Text: DOI arXiv
Stuart, D. Uniform stability of monopoles. (English) Zbl 0926.58010 Calc. Var. Partial Differ. Equ. 8, No. 2, 123-157 (1999). MSC: 58E15 81T13 35L70 53C07 PDF BibTeX XML Cite \textit{D. Stuart}, Calc. Var. Partial Differ. Equ. 8, No. 2, 123--157 (1999; Zbl 0926.58010) Full Text: DOI Link
Tafel, Jacek Yang-Mills-Higgs equations with nonhomogeneous boundary conditions. (English) Zbl 0867.58077 Classical Quantum Gravity 14, No. 1A, A335-A343 (1997). MSC: 58J90 81T13 PDF BibTeX XML Cite \textit{J. Tafel}, Classical Quantum Gravity 14, No. 1A, A335--A343 (1997; Zbl 0867.58077) Full Text: DOI
Keel, Markus Global existence for critical power Yang-Mills-Higgs equations in \(\mathbb{R}^{3+1}\). (English) Zbl 0884.35134 Commun. Partial Differ. Equations 22, No. 7-8, 1161-1225 (1997). Reviewer: H.Yamagata (Osaka) MSC: 35Q40 81T13 35L15 PDF BibTeX XML Cite \textit{M. Keel}, Commun. Partial Differ. Equations 22, No. 7--8, 1161--1225 (1997; Zbl 0884.35134)
Giachetta, Giovanni; Mangiarotti, Luigi Gauge invariance and formal integrability of the Yang-Mills-Higgs equations. (English) Zbl 0867.58070 Int. J. Theor. Phys. 35, No. 7, 1405-1422 (1996). MSC: 58J60 35N10 53C07 81T13 PDF BibTeX XML Cite \textit{G. Giachetta} and \textit{L. Mangiarotti}, Int. J. Theor. Phys. 35, No. 7, 1405--1422 (1996; Zbl 0867.58070) Full Text: DOI
Stavrinos, P. C. Bianchi identities, Yang-Mills and Higgs field produced on \(\tilde S^{(2)}M\)-deformed bundle. (English) Zbl 0868.53019 Balkan J. Geom. Appl. 1, No. 1, 75-82 (1996). Reviewer: V.Balan (Bucureşti) MSC: 53B30 81R25 81T13 81T20 53Z05 PDF BibTeX XML Cite \textit{P. C. Stavrinos}, Balkan J. Geom. Appl. 1, No. 1, 75--82 (1996; Zbl 0868.53019) Full Text: EuDML EMIS
Nasatyr, Ben; Steer, Brian Orbifold Riemann surfaces and the Yang-Mills-Higgs equations. (English) Zbl 0867.58009 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 4, 595-643 (1995). Reviewer: U.Bruzzo (Miramare) MSC: 58D27 32Q20 30F60 PDF BibTeX XML Cite \textit{B. Nasatyr} and \textit{B. Steer}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 4, 595--643 (1995; Zbl 0867.58009) Full Text: arXiv Numdam EuDML
Spruck, Joel; Yang, Yisong Regular stationary solutions of the cylindrically symmetric Einstein-matter-gauge equations. (English) Zbl 0858.53068 J. Math. Anal. Appl. 195, No. 1, 160-190 (1995). Reviewer: H.Dehnen (Konstanz) MSC: 53Z05 83C22 35Q75 PDF BibTeX XML Cite \textit{J. Spruck} and \textit{Y. Yang}, J. Math. Anal. Appl. 195, No. 1, 160--190 (1995; Zbl 0858.53068) Full Text: DOI
Bičák, J.; Cris, C.; Hájíček, P.; Higuchi, A. Gauge symmetry breakdown at the horizon of extreme black holes. (English) Zbl 0819.53050 Classical Quantum Gravity 12, No. 2, 479-498 (1995). MSC: 53Z05 83C57 81T13 83C22 PDF BibTeX XML Cite \textit{J. Bičák} et al., Classical Quantum Gravity 12, No. 2, 479--498 (1995; Zbl 0819.53050) Full Text: DOI arXiv
Dossa, Marcel Cauchy problem with data on the characteristic conoid for Einstein’s vacuum equations and Yang-Mills-Higgs equations. (Problème de Cauchy sur un conoïde caractéristique pour les équations d’Einstein du vide et les équations de Yang-Mills-Higgs.) (French) Zbl 0807.35147 C. R. Acad. Sci., Paris, Sér. I 319, No. 3, 295-298 (1994). MSC: 35Q75 83C47 PDF BibTeX XML Cite \textit{M. Dossa}, C. R. Acad. Sci., Paris, Sér. I 319, No. 3, 295--298 (1994; Zbl 0807.35147)
Rosenbaum, Marcos; Muciño, Jesús; Capella, Antonio Non-minimal Yang-Mills-Higgs fields over the four dimensional torus. (English) Zbl 0809.53027 Houston J. Math. 20, No. 2, 247-259 (1994). Reviewer: R.Schmid (Atlanta) MSC: 53C07 PDF BibTeX XML Cite \textit{M. Rosenbaum} et al., Houston J. Math. 20, No. 2, 247--259 (1994; Zbl 0809.53027)
Sibner, L. M.; Talvacchia, J. The existence of nonminimal solutions of the Yang-Mills-Higgs equations over \(\mathbb{R}^ 3\) with arbitrary positive coupling constant. (English) Zbl 0820.53037 Commun. Math. Phys. 162, No. 2, 333-351 (1994). Reviewer: S.Misicu (Bucureşti) MSC: 53C07 81T13 53C27 49J35 55P35 PDF BibTeX XML Cite \textit{L. M. Sibner} and \textit{J. Talvacchia}, Commun. Math. Phys. 162, No. 2, 333--351 (1994; Zbl 0820.53037) Full Text: DOI
García-Prada, Oscar A direct existence proof for the vortex equation over a compact Riemann surface. (English) Zbl 0807.53021 Bull. Lond. Math. Soc. 26, No. 1, 88-96 (1994). Reviewer: C.Apreutesei (Iaşi) MSC: 53C07 32Q20 58E15 PDF BibTeX XML Cite \textit{O. García-Prada}, Bull. Lond. Math. Soc. 26, No. 1, 88--96 (1994; Zbl 0807.53021) Full Text: DOI
Lunev, F. A. Three-dimensional Yang-Mills-Higgs equations in gauge-invariant variables. (English. Russian original) Zbl 0802.58064 Theor. Math. Phys. 94, No. 1, 48-54 (1993); translation from Teor. Mat. Fiz. 94, No. 1, 66-75 (1993). Reviewer: V.Balan (Bucureşti) MSC: 58J60 81T13 PDF BibTeX XML Cite \textit{F. A. Lunev}, Theor. Math. Phys. 94, No. 1, 1 (1993; Zbl 0802.58064); translation from Teor. Mat. Fiz. 94, No. 1, 66--75 (1993) Full Text: DOI
Hassell, Andrew The Yang-Mills-Higgs heat flow on \(\mathbb{R}^ 3\). (English) Zbl 0778.35048 J. Funct. Anal. 111, No. 2, 431-448 (1993). Reviewer: N.D.Sengupta (Bombay) MSC: 35G10 35K25 81T13 PDF BibTeX XML Cite \textit{A. Hassell}, J. Funct. Anal. 111, No. 2, 431--448 (1993; Zbl 0778.35048) Full Text: DOI
Dostoglou, S. On the asymptotics of finite energy solutions of the Yang-Mills-Higgs equations. (English) Zbl 0726.58014 J. Math. Phys. 31, No. 10, 2490-2496 (1990). MSC: 58E15 53C07 81T13 PDF BibTeX XML Cite \textit{S. Dostoglou}, J. Math. Phys. 31, No. 10, 2490--2496 (1990; Zbl 0726.58014) Full Text: DOI
Yang, Y. On the BPS limit in the classical SU(2) gauge theory. (English) Zbl 0717.58060 J. Phys. A, Math. Gen. 23, No. 9, L403-L407 (1990). Reviewer: V.Perlick MSC: 58Z05 58J90 81T13 PDF BibTeX XML Cite \textit{Y. Yang}, J. Phys. A, Math. Gen. 23, No. 9, L403--L407 (1990; Zbl 0717.58060) Full Text: DOI
Malec, Edward; Koc, Piotr Trapped surfaces in monopole-like Cauchy data of Einstein-Yang-Mills- Higgs equations. (English) Zbl 0714.58065 J. Math. Phys. 31, No. 7, 1791-1795 (1990). Reviewer: C.H.Brans MSC: 58Z05 83C57 83C47 PDF BibTeX XML Cite \textit{E. Malec} and \textit{P. Koc}, J. Math. Phys. 31, No. 7, 1791--1795 (1990; Zbl 0714.58065) Full Text: DOI
Degen, F. On the nth-order structure of solitonic wormholes. (English) Zbl 0707.35149 J. Math. Phys. 31, No. 2, 388-400 (1990). Reviewer: E.Malec MSC: 35Q75 83C05 PDF BibTeX XML Cite \textit{F. Degen}, J. Math. Phys. 31, No. 2, 388--400 (1990; Zbl 0707.35149) Full Text: DOI
Yang, Yisong Existence of solutions for a generalized Yang-Mills theory. (English) Zbl 0697.53078 Lett. Math. Phys. 19, No. 3, 257-267 (1990). Reviewer: H.Rund MSC: 53B50 81T08 35Q99 49J15 PDF BibTeX XML Cite \textit{Y. Yang}, Lett. Math. Phys. 19, No. 3, 257--267 (1990; Zbl 0697.53078) Full Text: DOI
Łada, A. Global solutions of Yang-Mills-Higgs systems on four-dimensional Minkowski space. II: Some properties of solutions. (English) Zbl 0693.35146 Math. Methods Appl. Sci. 12, No. 2, 167-176 (1990). MSC: 35Q99 35B65 35L70 81T08 35B99 PDF BibTeX XML Cite \textit{A. Łada}, Math. Methods Appl. Sci. 12, No. 2, 167--176 (1990; Zbl 0693.35146) Full Text: DOI
Łada, A. Global solutions of Yang-Mills-Higgs systems on four-dimensional Minkowski space. I: Existence. (English) Zbl 0693.35145 Math. Methods Appl. Sci. 12, No. 2, 153-165 (1990). MSC: 35Q99 35L70 81T08 PDF BibTeX XML Cite \textit{A. Łada}, Math. Methods Appl. Sci. 12, No. 2, 153--165 (1990; Zbl 0693.35145) Full Text: DOI
Choquet-Bruhat, Yvonne Global solutions of Yang-Mills equations on anti-de Sitter spacetime. (English) Zbl 0698.53040 Classical Quantum Gravity 6, No. 12, 1781-1789 (1989). Reviewer: P.Presnajder MSC: 53C50 35Q99 53C80 PDF BibTeX XML Cite \textit{Y. Choquet-Bruhat}, Classical Quantum Gravity 6, No. 12, 1781--1789 (1989; Zbl 0698.53040) Full Text: DOI
Taubes, Clifford H. A note and erratum concerning “Min-Max theory for the Yang-Mills-Higgs equations”. (English) Zbl 0679.58020 Commun. Math. Phys. 122, No. 4, 609-613 (1989). MSC: 58E30 81T99 53C80 PDF BibTeX XML Cite \textit{C. H. Taubes}, Commun. Math. Phys. 122, No. 4, 609--613 (1989; Zbl 0679.58020) Full Text: DOI
Choquet-Bruhat, Yvonne Solutions globales d’équations d’ondes sur l’espace-temps anti de Sitter. (Global solutions of wave equations on anti de Sitter space- time). (French) Zbl 0662.53068 C. R. Acad. Sci., Paris, Sér. I 308, No. 11, 323-327 (1989). MSC: 53C80 35L05 81T08 PDF BibTeX XML Cite \textit{Y. Choquet-Bruhat}, C. R. Acad. Sci., Paris, Sér. I 308, No. 11, 323--327 (1989; Zbl 0662.53068)
Fuchs, Helmut A Hamilton principle for test particles with internal structure. (Ein Hamilton-Prinzip für Probekörper mit innerer Struktur.) (German) Zbl 0790.53063 Wahsner, Renate (ed.), Gravitation und Kosmos. Beiträge zu Problemen der allgemeinen Relativitätstheorie. Berlin: Akademie-Verlag. 72-83 (1988). MSC: 53Z05 83C10 PDF BibTeX XML Cite \textit{H. Fuchs}, in: Gravitation und Kosmos. Beiträge zu Problemen der allgemeinen Relativitätstheorie. Berlin: Akademie-Verlag. 72--83 (1988; Zbl 0790.53063)
Horvathy, P. A. Bogomolny-type equations in curved space. (English) Zbl 0651.53053 Relativity today, Proc. 2nd Hung. Workshop, Budapest/Hung. 1987, 203-214 (1988). MSC: 53B50 83C47 81T08 PDF BibTeX XML
Bates, Larry; Montgomery, Richard Closed geodesics on the space of stable two-monopoles. (English) Zbl 0820.53058 Commun. Math. Phys. 118, No. 4, 635-640 (1988). MSC: 53Z05 81T13 37D40 53D25 PDF BibTeX XML Cite \textit{L. Bates} and \textit{R. Montgomery}, Commun. Math. Phys. 118, No. 4, 635--640 (1988; Zbl 0820.53058) Full Text: DOI
Solov’ev, Yu. P. Geometric structures on the manifold of interacting gauge fields. (Russian) Zbl 0651.58040 Global’nyj Analiz i Matematicheskaya Fizika, Nov. Global’nom Anal. 1987, 110-121 (1987). Reviewer: M.Monastyrsky MSC: 58Z05 58D15 81T08 PDF BibTeX XML
Hitchin, Nigel J. Monopole and vortex scattering. (English) Zbl 0647.53077 Field theory, quantum gravity and strings II, Proc. Semin., Meudon and Paris/France 1985/1986, Lect. Notes Phys. 280, 117-124 (1987). MSC: 53C80 81T08 PDF BibTeX XML
Otway, T. H.; Sibner, L. M. Point singularities of coupled gauge fields with low energy. (English) Zbl 0628.53078 Commun. Math. Phys. 111, 275-279 (1987). Reviewer: M.Martellini MSC: 53C80 81T08 83C05 PDF BibTeX XML Cite \textit{T. H. Otway} and \textit{L. M. Sibner}, Commun. Math. Phys. 111, 275--279 (1987; Zbl 0628.53078) Full Text: DOI
Aviles, Patricio Local behavior of solutions of some elliptic equations. (English) Zbl 0617.35040 Commun. Math. Phys. 108, No. 2, 177-192 (1987). MSC: 35J60 35B40 PDF BibTeX XML Cite \textit{P. Aviles}, Commun. Math. Phys. 108, No. 2, 177--192 (1987; Zbl 0617.35040) Full Text: DOI
Goganov, M. V.; Kapitanskij, L. V. Global solvability of the Cauchy problem for the Yang-Mills-Higgs equations. (English) Zbl 0614.35070 J. Sov. Math. 37, 802-822 (1987). MSC: 35Q99 81T08 81R40 PDF BibTeX XML Cite \textit{M. V. Goganov} and \textit{L. V. Kapitanskij}, J. Sov. Math. 37, 802--822 (1987; Zbl 0614.35070) Full Text: DOI
Burzlaff, Jürgen; O’Murchadha, Niall Global existence of time-dependent Yang-Mills-Higgs monopoles. (English) Zbl 0594.58052 Commun. Math. Phys. 105, 85-98 (1986). Reviewer: N.Jacob MSC: 58J90 35Q99 81T08 PDF BibTeX XML Cite \textit{J. Burzlaff} and \textit{N. O'Murchadha}, Commun. Math. Phys. 105, 85--98 (1986; Zbl 0594.58052) Full Text: DOI
Goganov, M. V.; Kapitanskij, L. V. Global solvability of the Cauchy problem for Yang-Mills-Higgs equations. (Russian. English summary) Zbl 0596.35116 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 147, 18-48 (1985). Reviewer: J.Appell MSC: 35Q99 81T08 81R40 PDF BibTeX XML Cite \textit{M. V. Goganov} and \textit{L. V. Kapitanskij}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 147, 18--48 (1985; Zbl 0596.35116) Full Text: EuDML
Babu Joseph, K.; Baby, B. V. Classical SU(2) Yang-Mills-Higgs system: Time-dependent solutions by similarity method. (English) Zbl 0591.35059 J. Math. Phys. 26, 2746-2748 (1985). MSC: 35Q99 81T08 PDF BibTeX XML Cite \textit{K. Babu Joseph} and \textit{B. V. Baby}, J. Math. Phys. 26, 2746--2748 (1985; Zbl 0591.35059) Full Text: DOI
Taubes, Clifford H. A brief survey of the Yang-Mills-Higgs equations on \({\mathbb{R}}^ 3\). (English) Zbl 0576.35111 Nonlinear partial differential equations and their applications, Coll. de France Semin., Vol. VII, Paris 1983-84, Res. Notes Math. 122, 257-271 (1985). Reviewer: A.Bocharov MSC: 35Q99 35G20 81T08 PDF BibTeX XML
Burzlaff, Jürgen; Moncrief, Vincent The global existence of time-dependent vortex solutions. (English) Zbl 0563.35076 J. Math. Phys. 26, 1368-1372 (1985). MSC: 35Q99 35A05 81T08 35A07 PDF BibTeX XML Cite \textit{J. Burzlaff} and \textit{V. Moncrief}, J. Math. Phys. 26, 1368--1372 (1985; Zbl 0563.35076) Full Text: DOI
Taubes, Clifford Henry Monopoles and maps from \(S^ 2\) to \(S^ 2\); the topology of the configuration space. (English) Zbl 0594.58053 Commun. Math. Phys. 95, 345-391 (1984). Reviewer: B.Konopel’chenko MSC: 58J90 81T08 55Q99 54C05 PDF BibTeX XML Cite \textit{C. H. Taubes}, Commun. Math. Phys. 95, 345--391 (1984; Zbl 0594.58053) Full Text: DOI
Hitchin, Nigel J. The geometry of monopoles. (English) Zbl 0573.53053 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 541-547 (1984). Reviewer: M.Min-Oo MSC: 53C80 81T08 81-02 PDF BibTeX XML
Sibner, L. M.; Sibner, R. J. Removable singularities of coupled Yang-Mills fields in \(R^ 3\). (English) Zbl 0552.35028 Commun. Math. Phys. 93, 1-17 (1984). Reviewer: M.Min-Oo MSC: 35J60 81T08 PDF BibTeX XML Cite \textit{L. M. Sibner} and \textit{R. J. Sibner}, Commun. Math. Phys. 93, 1--17 (1984; Zbl 0552.35028) Full Text: DOI
Taubes, Clifford Henry On the Yang-Mills-Higgs equations. (English) Zbl 0551.35028 Bull. Am. Math. Soc., New Ser. 10, 295-297 (1984). Reviewer: E.Malec MSC: 35J60 81T08 58E05 58B05 PDF BibTeX XML Cite \textit{C. H. Taubes}, Bull. Am. Math. Soc., New Ser. 10, 295--297 (1984; Zbl 0551.35028) Full Text: DOI
Hajicek, P. Wormhole solutions in Einstein-Yang-Mills-Higgs system. II: Zero-order structure for \({\mathcal G}=SU(2)\). (English) Zbl 0596.53068 J. Phys. A 16, 1191-1205 (1983). MSC: 53B50 35Q99 81T08 PDF BibTeX XML Cite \textit{P. Hajicek}, J. Phys. A, Math. Gen. 16, 1191--1205 (1983; Zbl 0596.53068) Full Text: DOI
Hajicek, P. Wormhole solutions in the Einstein-Yang-Mills-Higgs system. I: General theory of the zero-order structure. (English) Zbl 0582.35094 Proc. R. Soc. Lond., Ser. A 386, 223-240 (1983). Reviewer: A.M.Shermenev MSC: 35Q99 81T08 83C05 35N99 PDF BibTeX XML Cite \textit{P. Hajicek}, Proc. R. Soc. Lond., Ser. A 386, 223--240 (1983; Zbl 0582.35094) Full Text: DOI
Dobrev, V. K. Stiefel-Skyrme-Higgs models, their classical static solutions and Yang- Mills-Higgs monopoles. (English) Zbl 0516.58022 Lett. Math. Phys. 6, 161-165 (1982). MSC: 53D50 81T08 22E70 PDF BibTeX XML Cite \textit{V. K. Dobrev}, Lett. Math. Phys. 6, 161--165 (1982; Zbl 0516.58022) Full Text: DOI
Khenkin, G. M. Yang-Mills-Higgs fields as holomorphic vector bundles. (English. Russian original) Zbl 0516.32013 Sov. Math., Dokl. 26, 224-228 (1982); translation from Dokl. Akad. Nauk SSSR 265, 1081-1085 (1982). MSC: 32L10 14F05 81T08 70Sxx 32L05 81T20 53C80 PDF BibTeX XML Cite \textit{G. M. Khenkin}, Sov. Math., Dokl. 26, 224--228 (1982; Zbl 0516.32013); translation from Dokl. Akad. Nauk SSSR 265, 1081--1085 (1982)
Taubes, Clifford Henry The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I. (English) Zbl 0514.58016 Commun. Math. Phys. 86, 257-298 (1982). MSC: 53D50 81T08 PDF BibTeX XML Cite \textit{C. H. Taubes}, Commun. Math. Phys. 86, 257--298 (1982; Zbl 0514.58016) Full Text: DOI
Eardley, Douglas M.; Moncrief, Vincent The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof. (English) Zbl 0496.35062 Commun. Math. Phys. 83, 193-212 (1982). MSC: 35L70 81T08 35A07 35L45 35L65 PDF BibTeX XML Cite \textit{D. M. Eardley} and \textit{V. Moncrief}, Commun. Math. Phys. 83, 193--212 (1982; Zbl 0496.35062) Full Text: DOI
Eardley, Douglas M.; Moncrief, Vincent The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties. (English) Zbl 0496.35061 Commun. Math. Phys. 83, 171-191 (1982). MSC: 35L70 81T08 35A07 35L45 35L65 PDF BibTeX XML Cite \textit{D. M. Eardley} and \textit{V. Moncrief}, Commun. Math. Phys. 83, 171--191 (1982; Zbl 0496.35061) Full Text: DOI
Choquet-Bruhat, Yvonne; Christodoulou, Demetrios Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in 3+1 dimensions. (English) Zbl 0499.35076 Ann. Sci. Éc. Norm. Supér. (4) 14, 481-506 (1981). MSC: 35L70 35Q99 81T08 PDF BibTeX XML Cite \textit{Y. Choquet-Bruhat} and \textit{D. Christodoulou}, Ann. Sci. Éc. Norm. Supér. (4) 14, 481--506 (1981; Zbl 0499.35076) Full Text: DOI Numdam EuDML
Choquet-Bruhat, Yvonne; Christodoulou, Demetrios Existence de solutions globales des équations classiques des théories de jauge. (French) Zbl 0478.58027 C. R. Acad. Sci., Paris, Sér. I 293, 195-199 (1981). MSC: 58J32 58J90 81T08 53C80 53C05 PDF BibTeX XML Cite \textit{Y. Choquet-Bruhat} and \textit{D. Christodoulou}, C. R. Acad. Sci., Paris, Sér. I 293, 195--199 (1981; Zbl 0478.58027)
Plohr, Bradley The behavior at infinity of isotropic vortices and monopoles. (English) Zbl 0478.35012 J. Math. Phys. 22, 2184-2190 (1981). MSC: 35B40 81T08 35Q99 PDF BibTeX XML Cite \textit{B. Plohr}, J. Math. Phys. 22, 2184--2190 (1981; Zbl 0478.35012) Full Text: DOI
Schechter, M.; Weder, R. A theorem on the existence of dyon solutions. (English) Zbl 0464.35083 Ann. Phys. 132, 292-327 (1981). MSC: 35Q99 35A05 78A99 81T08 PDF BibTeX XML Cite \textit{M. Schechter} and \textit{R. Weder}, Ann. Phys. 132, 292--327 (1981; Zbl 0464.35083) Full Text: DOI
Weder, Ricardo Rigorous results on the Yang-Mills-Higgs equations. (English) Zbl 0458.35084 Hadronic J. 4, 164-181 (1980). MSC: 35Q99 81T08 PDF BibTeX XML Cite \textit{R. Weder}, Hadronic J. 4, 164--181 (1980; Zbl 0458.35084)
Jaffe, Arthur; Taubes, Clifford Vortices and monopoles. Structure of static gauge theories. (English) Zbl 0457.53034 Progress in Physics, 2. Boston - Basel - Stuttgart: Birkhäuser. V, 287 p. DM 30.00 (1980). MSC: 53C80 81T08 53B05 53-02 81-02 PDF BibTeX XML