Tarantello: Louis Nirenberg in ricordo

Tarantello, Gabriella:
Louis Nirenberg in ricordo
Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana Serie 1 5 (2020), fasc. n.3, p. 187-191, (English)
pdf, djvu.

Referenze Bibliografiche

[A] T. AUBIN, Nonlinear analysis on manifolds. Monge-Ampère equations, vol. 252, Springer Verlag, New York, 1982. | fulltext (doi) | MR 681859 | Zbl 0512.53044

[B] A. BAHRI, Critical points at infinity in some variational problems, Pitman, Research Notes in Mathematics Series, Vol. 182, 1989. | MR 1019828 | Zbl 0676.58021

[BC] A. BAHRI, J. CORON, On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain, Comm. Pure Appl. Math. 41 (1988), 253-294. | fulltext (doi) | MR 929280 | Zbl 0649.35033

[BN] H. BERESTYCKI, L. NIRENBERG, On the method of moving planes and the sliding method, Bol. Soc. Brasil. Mat. (N.S.) 22 (1991), 1-37. | fulltext (doi) | MR 1159383 | Zbl 0784.35025

[BM] H. BREZIS, F. MERLE, Uniform estimates and blow-up behaviour for solutions of $\Delta u = V(x)e^u$ in two dimensions, Comm. in Partial Differential Equations 16 (1991), 1223-1253. | fulltext (doi) | MR 1132783 | Zbl 0746.35006

[BN] H. BREZIS, L. NIRENBERG, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), 437-477. | fulltext (doi) | MR 709644 | Zbl 0541.35029

[CKN1] L. CAFFARELLI, R. KOHN, L. NIRENBERG, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 35 (1982), 771-831. | fulltext (doi) | MR 673830 | Zbl 0509.35067

[CKN2] L. CAFFARELLI, R. KOHN, L. NIRENBERG, First order interpolation inequalities with weights, Compositio Math. 53 (1984), 259-275. | fulltext EuDML | MR 768824 | Zbl 0563.46024

[CW] F. CATRINA, Z.Q. WANG, On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (non-existence) and symmetry of extremal functions, Comm. Pure Appl. Math. 54 (2001), 229-258. | fulltext (doi) | MR 1794994 | Zbl 1072.35506

[CY1] S. Y. A. CHANG, P. C. YANG, Prescribing Gaussian curvature on $S^2$, Acta Math. 159 (1987), 215-259. | fulltext (doi) | MR 908146 | Zbl 0636.53053

[CY2] S.-Y. A. CHANG, P. YANG, Conformal deformation of metrics on $S^2$, J. Diff. Geom. 27 (1988), 259-296. | MR 925123 | Zbl 0649.53022

[CGY] S-Y.A. CHANG, M. GURSKY, P.C. YANG, Equations of Monge-Ampere type in the conformal geometry and four-manifolds of positive Ricci curvature, Ann. of Math. 155 (2002), 711-789. | fulltext (doi) | MR 1923964

[CL] C. C. CHEN, C. S. LIN, Topological degree for a mean field equation on Riemann surfaces, Comm. Pure Appl. Math. 56 (2003), 1667-1727. | fulltext (doi) | MR 2001443 | Zbl 1032.58010

[DEL1] J. DOLBEAULT, M.J. ESTEBAN, M. LOSS, Symmetry and Symmetry Breaking: Rigidity and Flows in Elliptic PDES, Proc. Int. Cong. Math (2018), 2279-2304. | MR 3966850 | Zbl 1453.35066

[DEL2] J. DOLBEAULT, M.J. ESTEBAN, M. LOSS, Rigidity versus symmetry breaking via nonlinear flows on Cylinder and Eucledian spaces, Invent. Math. (2016), 397-440. | fulltext (doi) | MR 3570296 | Zbl 1379.49021

[D] S. DONALDSON, On the Work of Louis Nirenberg, Notices Amer. Math. Soc. 58 (2011), 469-472. | MR 2789126 | Zbl 1213.01065

[GNN] B. GIDAS, W. M. NI, L. NIRENBERG, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), 209-243. | MR 544879 | Zbl 0425.35020

[KW] J. KAZDAN, F. WARNER, Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvature, Ann. of Math. 101 (1975), 317-331. | fulltext (doi) | MR 375153 | Zbl 0297.53020

[L] Y. Y. LI, The work of Louis Nirenberg, Proceedings of the International Congress of Mathematics (2010) Vol. I, 127-137, Hindustan Book Agency. | MR 2827887 | Zbl 1234.35007

[LYZ] C.S. LIN, W. YANG, X. ZHONG, A priori estimates for Toda systems I: the Lie Algebras of $A_n$, $B_n$, $C_n$ and $G_2$, J. Diff. Geom. 114 (2020), 337-391 | fulltext (doi) | MR 4058965 | Zbl 1432.37086

[M] J. MOSER, On a nonlinear problem in differential geometry, Dynamical Systems Symposium (M. Peixoto, ed.) Academic Press, NY, 1973, 273-280. | MR 339258

[R] T. RIVIÈRE, Exploring the unknown: the work of the work of Louis Nirenberg on partial differential equations, Notices Amer. Math. Soc. 63 (2016), no. 2, 120-125. | MR 2827887 | Zbl 1338.35006

[S1] R. SCHOEN, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Diff. Geom. 20 (1984), 479-495. | MR 788292 | Zbl 0576.53028

[S2] M.A. KHURI, F.C. MARQUES, & R.M. SCHOEN, A compactness theorem for the Yamabe problem, J. Diff. Geom. 81 (2009), 143-196. | MR 2477893 | Zbl 1162.53029

[SU] J. SACKS, K. UHLENBECK, The existence of minimal immersions of 2-spheres, Ann. of Math. 113 (1981), 1-24. | fulltext (doi) | MR 604040 | Zbl 0462.58014

[T]G. TARANTELLO, Self-dual gauge field vortices: an analytical approach, Progress in Nonlinear Differential Equations and their Applications, vol. 72, Birkhauser Boston, Inc., Boston, MA, 2008. | fulltext (doi) | MR 2403854 | Zbl 1177.58011

bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Referenze Bibliografiche