Symmetry results for semilinear elliptic systems in the whole space

Journal of Differential Equations

Volumn 163, Issue 1, 2000, Pages 41-56

  Busca, Jérôme ^a   Sirakov, Boyan ^b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034629612     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1999.3701     Document Type: Article

References (18)

1. A. Aftalion and J. Busca, Radial symmetry of overdetermined boundary value problems in exterior domains, Arch. Rational Mech. Anal. 143, No. 2 (1998), 195-206.
2. M. Chipot, I. Shafrir, and G. Wolansky, On the solutions of Liouville systems, J. Differential Equations 140 (1997), 59-105.
3. W. Chen and C. Li, Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991), 615-623.
4. D. G. de Figueiredo, Monotonicity and symmetry of solutions of elliptic systems in general domains, NoDEA 1 (1994), 119-123.
5. D. G. de Figueiredo, Semilinear elliptic systems: A survey of superlinear problems, Resenhas IME-USP 2, No. 4 (1996), 373-391.
6. D. G. de Figueiredo and E. Mitidieri, Maximum principles for linear elliptic systems, Rend. Instit. Mat. Univ. Trieste (1992), 36-66.
7. D. G. de Figueiredo and E. Mitidieri, maximum principles for cooperative elliptic systems, C. R. Acad. Sci. Paris Ser. I 310, No. 2 (1990), 49-52.
8. D. G. de Figueiredo and J. Yang, Decay, symmetry and existence of positive solutions of semilinear elliptic systems, Nonlinear Anal. 33, No. 3 (1998), 211-234.
9. n, Rend. Circ. Mat. Pal. Ser. II XLIII (1994), 259-284.
10. J. Fleckinger, J. Hernandez, and F. de Thélin, On Maximum Principles and Existence of Positive Solutions for Some Cooperative Elliptic Systems, 8, No. 1 (1995), 69-85.
11. n, Math. Anal. Appl. Part A, Advances in Math. Suppl. Studies 7A (1981), 369-402.
12. C. Li, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domain, Comm. Part. Diff. Eq. 16 (1991), 585-615.
13. Y. Li and W.-M. Ni, Radial symmetry of positive solutions of nonlinear elliptic equations, Comm. Part. Diff. Eq. 18 (1993), 1043-1054.
14. M. H. Protter and H. F. Weinberger, "Maximum Principles in Differential Equations," Springer-Verlag, New York/Berlin, 1984.
15. n, to appear in Adv. Differential Equations.
16. A. W. Shaker, On symmetry in elliptic systems, Appl. An. 41 (1991), 1-9.
17. W. C. Troy, Symmetry properties in systems of semilinear elliptic equations, J. Differential Equations 42 (1981), 400-413.
18. n, J. Differential Equations 120 (1995), 46-88.