User menu

Moser–Trudinger inequalities for singular Liouville systems

Bibliographic reference Battaglia, Luca. Moser–Trudinger inequalities for singular Liouville systems. In: Mathematische Zeitschrift, Vol. 282, no.3-4, p. 1169-1190 (2015)
Permanent URL http://hdl.handle.net/2078.1/173358
  1. Adimurthi, Sandeep K., A singular Moser-Trudinger embedding and its applications, 10.1007/s00030-006-4025-9
  2. Battaglia, L., Malchiodi, A.: A Moser–Trudinger inequality for the singular Toda system. Bull. Inst. Math. Acad. Sin. (N.S.) 9(1), 1–23 (2014)
  3. Bolton, J., Woodward, L.M.: Some geometrical aspects of the $$2$$ 2 -dimensional Toda equations. In: Geometry, topology and physics (Campinas, 1996), pp. 69–81. de Gruyter, Berlin (1997)
  4. Brezis Haïm, Merle Frank, Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions, 10.1080/03605309108820797
  5. Calabi Eugenio, Isometric Imbedding of Complex Manifolds, 10.2307/1969817
  6. Chang Sun-yung Alice, Yang Paul C., Prescribing Gaussian curvature on S2, 10.1007/bf02392560
  7. Chang Sun-Yung A., Yang Paul C., Conformal deformation of metrics on $S^2$, 10.4310/jdg/1214441783
  8. Chen, W.X.: A Trüdinger inequality on surfaces with conical singularities. Proc. Am. Math. Soc. 108(3), 821–832 (1990)
  9. Chern Shiing-Shen, Wolfson Jon G., Harmonic Maps of the Two-Sphere into a Complex Grassmann Manifold II, 10.2307/1971312
  10. Chipot M., Shafrir I., Wolansky G., On the Solutions of Liouville Systems, 10.1006/jdeq.1997.3316
  11. Chipot M., Shafrir I., Wolansky G., On the Solutions of Liouville Systems, 10.1006/jdeq.2001.4105
  12. Dunne Gerald, Self-Dual Chern-Simons Theories, ISBN:9783540602576, 10.1007/978-3-540-44777-1
  13. Fontana Luigi, Sharp borderline Sobolev inequalities on compact Riemannian manifolds, 10.1007/bf02565828
  14. Jost Jürgen, Lin Changshou, Wang Guofang, Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions, 10.1002/cpa.20099
  15. Jost J�rgen, Wang Guofang, Analytic aspects of the Toda system: I. A Moser-Trudinger inequality, 10.1002/cpa.10004
  16. Lin Chang-Shou, Wei Jun-cheng, Zhang Lei, Classification of blowup limits for SU(3) singular Toda systems, 10.2140/apde.2015.8.807
  17. Lucia Marcello, Nolasco Margherita, SU(3) Chern–Simons Vortex Theory and Toda Systems, 10.1006/jdeq.2001.4148
  18. Moser J., , 10.1512/iumj.1971.20.20101
  19. Shafrir Itai, Wolansky Gershon, The logarithmic HLS inequality for systems on compact manifolds, 10.1016/j.jfa.2004.09.007
  20. Shafrir Itai, Wolansky Gershon, Moser-Trudinger and logarithmic HLS inequalities for systems, 10.4171/jems/34
  21. Tarantello Gabriella, Selfdual Gauge Field Vortices, ISBN:9780817643102, 10.1007/978-0-8176-4608-0
  22. Troyanov Marc, Prescribing curvature on compact surfaces with conical singularities, 10.1090/s0002-9947-1991-1005085-9
  23. Wang Guofang, Moser-Trudinger inequalities and Liouville systems, 10.1016/s0764-4442(99)80293-6
  24. Yang Yisong, Solitons in Field Theory and Nonlinear Analysis, ISBN:9781441929198, 10.1007/978-1-4757-6548-9