Semilinear elliptic equations on annuli in three and higher dimensions

Houston Journal of Mathematics

Volumn 22, Issue 1, 1996, Pages 199-214

  Mizoguchi, Noriko ^a   Suzuki, Takashi ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000639164     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. C.V. Coffman, A nonlinear boundary value problem with many positive solutions, J. Differential Equations 54 (1984), 429-437.
2. W.Y. Ding and W.M. Ni, On the existence of positive entire solutions of a semilinear elliptic equation, Arch. Rational Mech. Anal. 91 (1986), 283-308.
3. M.J. Esteban, Nonlinear elliptic problem in strip-like domains: Symmetry of positive vortex rings, Nonlinear Anal. (1983), 365-379.
4. B. Kawohl, Rearrangements and convexity of level sets in P.D.E., Lecture Notes in Math. 1150, Springer 1985.
5. Y.Y. Li, Existence of many positive solutions of semilinear elliptic equations on annulus, J. Differential Equations 83 (1990), 348-367.
6. C.S. Lin and W.M. Ni, On the dffusion coefficient of a semilinear Neumann problem, in Calculus of Variations and Partial Differential Equations, S. Hildebrandt, D. Kinderlehrer and M. Miranda, eds., Lecture Notes in Math. 1340, Springer 1988.
7. S.S. Lin, Existence of many positive nonradial solutions for nonlinear elliptic equations on annulus, J. Differential Equations 103 (1993), 338-349.
8. _, Asymptotic behavior of positive solutions to semilinear elliptic equations on expanding annuli, preprint.