Positive solution curves of semipositone problems with concave nonlinearities

Royal Society of Edinburgh - Proceedings A

Volumn 127, Issue 5, 1997, Pages 921-934

  Castro, Alfonso ^a   Gadam, Sudhasree ^b   Shivaji, R ^c  

^a UNIVERSITY OF NORTH TEXAS   (United States)

^b Yashodha   (India)

^c MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944439211     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500026809     Document Type: Article

References (9)

1. R. Adams. Sobolev Spaces (New York: Academic Press, 1975).
2. A. Ambrosetti, D. Arcoya and B. Buffoni. Positive solutions for some semipositone problems via Bifurcation theory. Differential Integral Equations 7 (1994), 655-64.
3. A. Castro and S. Gadam. Uniqueness of stable and unstable positive solutions for semipositone problems. Nonlinear Anal. 22 (1994), 425-9.
4. A. Castro, S. Gadam and R. Shivaji. Branches of radial solutions for semipositone problems. J. Differential Equations 120 (1995), 30-45.
5. A. Castro, S. Gadam and R. Shivaji. Evolution of positive solution curves in semipositone problems with concave nonlinearities (Preprint).
6. A. Castro, J. Garner and R. Shivaji. Existence results for classes of sublinear semipositone problems. Results Math. 23 (1993), 214-20.
7. A. Castro and R. Shivaji. Positive solutions for a concave semipositone Dirichlet problem. Nonlinear Anal. (to appear).
8. M. G. Crandall and P. H. Rabinowitz. Bifurcation from simple eigenvalues. J. Funct. Anal. 8 (1971), 321-40.
9. S.-H. Wang. Positive solutions for a class of nonpositone problems with concave nonlinearities. Proc. Roy. Soc. Edinburgh Sect. A 124 (1994), 507-15.