Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent
Chiun-Chuan Chen and Chang-Shou Lin
Source: Duke Math. J. Volume 78, Number 2
(1995), 315-334.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285749
Mathematical Reviews number (MathSciNet): MR1333503
Zentralblatt MATH identifier: 0839.35014
Digital Object Identifier: doi:10.1215/S0012-7094-95-07814-4
References
[AM] D. R. Adams and N. G. Meyers, Bessel potentials. Inclusion relations among classes of exceptional sets, Indiana Univ. Math. J. 22 (1972/73), 873–905.
Mathematical Reviews (MathSciNet): MR47:8885
Zentralblatt MATH: 0285.31007
Digital Object Identifier: doi:10.1512/iumj.1973.22.22074
[BN] H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), no. 4, 437–477.
Mathematical Reviews (MathSciNet): MR84h:35059
Zentralblatt MATH: 0541.35029
Digital Object Identifier: doi:10.1002/cpa.3160360405
[CGS] L. A. Caffarelli, B. Gidas, and J. Spruck, Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (1989), no. 3, 271–297.
Mathematical Reviews (MathSciNet): MR90c:35075
Zentralblatt MATH: 0702.35085
Digital Object Identifier: doi:10.1002/cpa.3160420304
[CL] E. Chen and C. Li, Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991), no. 3, 615–622.
Mathematical Reviews (MathSciNet): MR93e:35009
Zentralblatt MATH: 0768.35025
Digital Object Identifier: doi:10.1215/S0012-7094-91-06325-8
Project Euclid: euclid.dmj/1077296071
[dFLN] D. G. de Figueiredo, P. L. Lions, and R. D. Nussbaum, A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. Pures Appl. (9) 61 (1982), no. 1, 41–63.
Mathematical Reviews (MathSciNet): MR83h:35039
Zentralblatt MATH: 0452.35030
[GNN] B. Gidas, W. M. Ni, and L. Nirenberg, Symmetry of positive solutions of nonlinear elliptic equations in $\bf R\spn$, Mathematical analysis and applications, Part A, Adv. in Math. Suppl. Stud., vol. 7, Academic Press, New York, 1981, pp. 369–402.
Mathematical Reviews (MathSciNet): MR84a:35083
Zentralblatt MATH: 0469.35052
[GS1] B. Gidas and J. Spruck, Apriori bounds for positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 34 (1981), no. 4, 525–598.
Mathematical Reviews (MathSciNet): MR83f:35045
Zentralblatt MATH: 0465.35003
Digital Object Identifier: doi:10.1002/cpa.3160340406
[GS2] B. Gidas and J. Spruck, A priori bounds for positive solutions of nonlinear elliptic equations, Comm. Partial Differential Equations 6 (1981), no. 8, 883–901.
Mathematical Reviews (MathSciNet): MR82h:35033
Zentralblatt MATH: 0462.35041
Digital Object Identifier: doi:10.1080/03605308108820196
[H] Z. C. Han, Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent, Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991), no. 2, 159–174.
Mathematical Reviews (MathSciNet): MR92c:35047
Zentralblatt MATH: 0729.35014
[P] P. Pollack, Compactness results for complete metrics of constant positive scalar curvature on subdomains of $S^n$, to appear in Indiana Univ. Math. J.
Mathematical Reviews (MathSciNet): MR1266101
Zentralblatt MATH: 0794.53025
Digital Object Identifier: doi:10.1512/iumj.1993.42.42066
[S1] R. Schoen, The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation, Comm. Pure Appl. Math. 41 (1988), no. 3, 317–392.
Mathematical Reviews (MathSciNet): MR89e:58119
Zentralblatt MATH: 0674.35027
Digital Object Identifier: doi:10.1002/cpa.3160410305
[S2] R. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Topics in calculus of variations (Montecatini Terme, 1987), Lecture Notes in Math., vol. 1365, Springer, Berlin, 1989, pp. 120–154.
Mathematical Reviews (MathSciNet): MR90g:58023
Zentralblatt MATH: 0702.49038
Digital Object Identifier: doi:10.1007/BFb0089180
[S3] R. Schoen, On the number of constant scalar curvature metrics in a conformal class, Differential geometry, Pitman Monogr. Surveys Pure Appl. Math., vol. 52, Longman Sci. Tech., Harlow, 1991, pp. 311–320.
Mathematical Reviews (MathSciNet): MR94e:53035
Zentralblatt MATH: 0733.53021
[SY] R. Schoen and S. T. Yau, Conformally flat manifolds, Kleinian groups and scalar curvature, Invent. Math. 92 (1988), no. 1, 47–71.
Mathematical Reviews (MathSciNet): MR89c:58139
Zentralblatt MATH: 0658.53038
Digital Object Identifier: doi:10.1007/BF01393992
Duke Mathematical Journal