Semilinear elliptic equations with sublinear indefinite nonlinearities

Advances in Differential Equations

Volumn 4, Issue 6, 1999, Pages 813-842

  Alama, Stanley ^a  

^a MCMASTER UNIVERSITY   (Canada)

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EID: 0001451359     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. S. Alama and G. Tarantello,. On semilinear elliptic equations with indefinite nonlinearities, Calc. of Var. and P. D. E., vol.1 (1993), pp. 439-475.
2. S. Alama, and G. Tarantello,. On the solvability of a semilinear elliptic equation via an associated eigenvalue problem, Math. Zeit. vol. 221 (1996), pp. 467-493.
3. 1 convergence, C.R. Acad. Sci. Paris, série I (Mathematiques), tome 319 (1994), pp. 1165-1169.
4. S. Alama, and G. Tarantello,. Elliptic problems with nonlinearities indefinite in sign, Jour. Funct. Anal., vol. 141 (1996), pp. 159-215.
5. A. Ambrosetti, H. Brezis,, and G. Cerami,. Combined Effects of Concave, and Convex Nonlinearities in Some Elliptic Problems, Jour. Funct. Anal., vol. 122 (1994), pp. 519-543.
6. A. Ambrosetti, J. Garcia Azorero,, and I. Peral,. Multiplicity Results for some Nonlinear Elliptic Equations, preprint, 1995.
7. A. Ambrosetti, and P. Hess,. Positive Solutions of Asymptotically Linear Elliptic Eigenvalue Problems, Jour. of Math. Anal. Appl., vol. 73 (1980), pp. 411-422.
8. C. Bandle, M. A. Pozio, and A. Tesei,. The asymptotic behaviour of the solutions of degenerate parabolic equations, Trans. Amer. Math. Soc., vol. 303 (1987), pp. 487-501.
9. C. Bandle, M. A. Pozio, and A. Tesei,. Existence, and Uniqueness of Solutions of Nonlinear Neumann Problems, Math. Zeit., vol. 199 (1988), pp. 257-278.
10. T. Bartsch, M. Willem,. On an Elliptic Equation with Concave, and Convex Nonlinearities, Proc. Amer. Math. Soc., vol. 123 (1995), pp. 3555-3561.
11. 1, C.R. Acad. Sci. Paris, série I (Mathematiques), tome 317 (1993), pp. 465-472.
12. H. Brezis, and L. Oswald,. Remarks on sublinear elliptic equations, Nonlinear Analysis T.M.A., vol. 10 (1986), pp. 55-64.
13. N. Ghoussoub, and D. Preiss,. A general mountain pass priciple for locating, and classifying critical points, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol. 6 (1989), pp. 321-330.
14. D. Gilbarg, and N. Trudinger,. "Elliptic Partial Differential Equations of Second Order", Second edition, Grundlehren vol. 224, Springer-Verlag, Berlin-Heidelberg-New York, 1983.
15. M. Gurtin, and R. MacCamy,. On the Diffusion of Biological Populations, Mathematical Biosciences, vol 33 (1977), pp. 35-49.
16. Y. X. Huang,. Positive solutions of certain elliptic equations involving critical Sobolev exponents, preprint.
17. T. Namba,. Density-dependent Dispersal, and Spatial Distribution of a Population, Jour. Theor. Biol., vol 86 (1980), pp. 351-363.
18. P. Rabinowitz,. Some Global Results for Nonlinear Eigenvalue Problems, Jour. of Funct. Anal., vol. 7 (1971), pp. 487-513.
19. M. Reed, and B. Simon,. "Methods of Modern Mathematical Physics: Volume II, Fourier Analysis, and Self-Adjointness", Academic Press, New York, 1975.
20. M. Struwe, "Variational Methods," Springer, Berlin, 1990.
21. H. Tehrani,. On Elliptic Equations with Nonlinearities That Are a Sum of a Sublinear, and a Superlinear Term, preprint, 1996.