Asymptotic behavior of a nonlinear fourth order eigenvalue problem

Communications in Partial Differential Equations

Volumn 21, Issue 9-10, 1996, Pages 1451-1467

  Wei, Juncheng ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001752217     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821234     Document Type: Article

References (14)

1. u in two dimensions, Comm. Partial Differential Equations 16 (1991), 1223-1253.
2. n+2/n-2, SIAM Review, to appear .
3. S-Y A. Chang and P.C. Yang, Extremal metrics of zeta function determinants on 4-manifolds, Ann. Math. 142 (1995), 171-212.
4. Gidas, B., Ni, W.-M., and Nirenberg, L., Symmetry and related properties via the Maximum Principle, Comm. Math. Phys. 68 (3) 1979, 209-243.
5. D. Gilbarg and N.S.Trudinger, Elliptic partial differential equons of second order, Second Edition, Springer-Verlag (1983).
6. J.L. Moseley, Asymptotic solutions for a Dirichlet problem with an exponentially nonlinearity, SIAM J. Math. Anal. 14 (1983), 719-735.
7. E. Mitidieri, A Rellich type identity and applications, Comm. Partial Differential Equations 18(1993), 125-151.
8. K. Nagasaki and T. Suzuki, Asymptotic analysis for two dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities , Asymptotic Analysis 3 (1990), 173-188.
9. X. Ren and J. Wei, Counting peaks of solutions to some quasilinear elliptic equations with large exponents, J. Diff. Eqns 117(1995), 28-55.
10. 2 and Stokes system, preprint , 1992.
11. W. Troy, Symmetry properties in systems of semilinear elliptic equations, J. Diff. Eqns 42(1981), 400-413.
12. G. Talenti, Elliptic equations and rearrangements, Ann. Scuola. Norm. Pisa. Sci. 3(1976), 697-718.
13. G. Talenti, Nonlinear eeliptic equations, rearrangements of functions and Orlicz spaces Ann. Mat. Pura. Appl. (4) 120 (1977), 159-184.
14. V. H. Weston, On the asymptotic solution of a partial differential equation with an exponentially nonlinearity, SIAM J. Math. Anal. 9 (1978), 11030-1053.