Abstract: Communications on Pure and Applied MathematicsVolume 36, Issue 4 p. 437-477 Article Positive solutions of nonlinear elliptic equations involving critical sobolev exponents Haïm Brezis, Haïm Brezis Paris VISearch for more papers by this authorLouis Nirenberg, Louis Nirenberg Courant InstituteSearch for more papers by this author Haïm Brezis, Haïm Brezis Paris VISearch for more papers by this authorLouis Nirenberg, Louis Nirenberg Courant InstituteSearch for more papers by this author First published: July 1983 https://doi.org/10.1002/cpa.3160360405Citations: 1,734AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Ambrosetti, A., and Rabinowitz, P., Dual variational methods in critical point theory and applications, J. Funct. Anal. 14, 1973, pp. 349–381. 2 Aubin, Th., Problèmes isopétrimétriques et espaces de Sobolev, J. Diff. Geom. 11, 1976, pp. 573–598. 3 Aubin, Th., Equations différentielles non linéaires et problèms de Yamabe concernant la courbure scalaire, J. Math. Pures et Appl. 55, 1976, pp. 269–293. 4 Bliss, G. A., An integral inequality, J. London Math. Soc. 5, 1930, pp. 40–46. 5 Brezis, H., and Coron, J. M., Multiple solutions of H-systems and Rellich's conjecture, Comm. Pure Appl. Math., to appear. 6 Brezis, H., Coron, J. M., and Nirenberg, L., Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz, Comm. Pure Appl. Math. 33, 1980, pp. 667–689. 7 Brezis, H., and Kato, T., Remarks on the Schrödinger operator with singular complex potential, J. Math. 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L., The method of concentration—compactness and applications to the best constants, in preparation. 22 McLeod, K., and Serrin, J., Uniqueness of solutions of semilinear Poisson equations, Proc. Nat. Acad. Sc. USA, 78, 1981, pp. 6592–6595. 23 Peletier, L. A., and Serrin, J., Uniqueness of positive solutions of semilinear equations in R. Arch. Rat. Mech. Anal., 81, 1983, pp. 181–197. 24 Pohozaev, S. I., Eigenfunctions of the equation Δu + λf(u) = 0, Soviet Math. Doklady 6, 1965, pp. 1408–1411 (translated from the Russian Dokl. Akad. Nauk SSSR 165, 1965, pp. 33–36). 25 Rabinowitz, P., Some global results for nonlinear eigenvalue problems, J. Funct. Anal. 7, 1971, pp. 487–513. 26 Rabinowitz, P., Variational methods for nonlinear elliptic eigenvalue problems, Indiana Univ. Math. J. 23, 1974, pp. 729–754. 27 Schaeffer, D., An example for the plasma problem with infinitely many solutions, unpublished note. 28 Talenti, G., Best constants in Sobolev inequality, Annali di Mat. 110, 1976, pp. 353–372. 29 Taubes, C., The existence of a non-minimal solution to the SU (2) Yang-Mills-Higgs equations on R3, to appear. 30 Trudinger, N., Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Sc. Norm. Sup. Pisa 22, 1968, pp. 265–274. 31 Uhlenbeck, K. K., Variational problems for gauge fields, Seminar on Differential Geometry, S. T. Yau, Editor, Princeton University Press, 1982, pp. 455–464. Citing Literature Volume36, Issue4July 1983Pages 437-477 ReferencesRelatedInformation
Publication Year: 1983
Publication Date: 1983-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2720
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