Removable boundary singularities for solutions of some nonlinear differential equations
Yuan-Chung Sheu
Source: Duke Math. J. Volume 74, Number 3
(1994), 701-711.
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/1077288422
Mathematical Reviews number (MathSciNet): MR1277951
Zentralblatt MATH identifier: 0809.35030
Digital Object Identifier: doi:10.1215/S0012-7094-94-07426-7
References
[1] C. Bandle and M. Marcus, “Large” solutions of semilinear elliptic equations: existence, uniqueness and asymptotic behaviour, J. Anal. Math. 58 (1992), 9–24.
Mathematical Reviews (MathSciNet): MR94c:35081
Zentralblatt MATH: 0802.35038
Digital Object Identifier: doi:10.1007/BF02790355
[2] P. Baras and M. Pierre, Singularités éliminables pour des équations semi-linéaires, Ann. Inst. Fourier (Grenoble) 34 (1984), no. 1, 185–206.
Mathematical Reviews (MathSciNet): MR86j:35063
Zentralblatt MATH: 0519.35002
[3] H. Brézis and L. Véron, Removable singularities for some nonlinear elliptic equations, Arch. Rational Mech. Anal. 75 (1980/81), no. 1, 1–6.
Mathematical Reviews (MathSciNet): MR83i:35071
Zentralblatt MATH: 0459.35032
[4] L. Carleson, Selected problems on exceptional sets, Van Nostrand Mathematical Studies, No. 13, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967.
Mathematical Reviews (MathSciNet): MR37:1576
Zentralblatt MATH: 0189.10903
[5] J. Chabrowski, The Dirichlet problem with $L\sp 2$-boundary data for elliptic linear equations, Lecture Notes in Mathematics, vol. 1482, Springer-Verlag, Berlin, 1991.
Mathematical Reviews (MathSciNet): MR93i:35045
Zentralblatt MATH: 0734.35024
[6] R. Dautray and J.-L. Lions, Mathematical analysis and numerical methods for science and technology. Vol. 1, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR90k:00004
Zentralblatt MATH: 0683.35001
[7] E. B. Dynkin, A probabilistic approach to one class of nonlinear differential equations, Probab. Theory Related Fields 89 (1991), no. 1, 89–115.
Mathematical Reviews (MathSciNet): MR92d:35090
Zentralblatt MATH: 0722.60062
Digital Object Identifier: doi:10.1007/BF01225827
[8] A. Gmira and L. Véron, Boundary singularities of solutions of some nonlinear elliptic equations, Duke Math. J. 64 (1991), no. 2, 271–324.
Mathematical Reviews (MathSciNet): MR93a:35053
Zentralblatt MATH: 0766.35015
Digital Object Identifier: doi:10.1215/S0012-7094-91-06414-8
Project Euclid: euclid.dmj/1077295523
[9] J. F. LeGall, Hitting probabilities and potential theory for the Brownian path-valued process, preprint, 1993.
Mathematical Reviews (MathSciNet): MR1262889
[10] R. Osserman, On the inequality $\Delta u\geq f(u)$, Pacific J. Math. 7 (1957), 1641–1647.
Mathematical Reviews (MathSciNet): MR20:4701
Zentralblatt MATH: 0083.09402
Project Euclid: euclid.pjm/1103043236
[11] J. Serrin, Isolated singularities of solutions of quasi-linear equations, Acta Math. 113 (1965), 219–240.
Mathematical Reviews (MathSciNet): MR31:494
Zentralblatt MATH: 0173.39202
Digital Object Identifier: doi:10.1007/BF02391778
[12] L. Véron, Singularités éliminables d'équations elliptiques non linéaires, J. Differential Equations 41 (1981), no. 1, 87–95.
Mathematical Reviews (MathSciNet): MR82k:35042
Zentralblatt MATH: 0431.35005
Digital Object Identifier: doi:10.1016/0022-0396(81)90054-1
Duke Mathematical Journal
