Branches of radial solutions for semipositone problems

Journal of Differential Equations

Volumn 120, Issue 1, 1995, Pages 30-45

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

^a UNIVERSITY OF NORTH TEXAS   (United States)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001857085     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1006/jdeq.1995.1104     Document Type: Article

References (12)

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2. W. Allegretto, P. Nistrj, and P. Zecca, Positive solutions of elliptic non-positone problems, Diff. Int. Eqns., to appear.
3. W. Allegretto and P. Nistri, Existence and stability for nonpositone elliptic problems, preprint.
4. I. Ali, A. Castro, and R. Shivaji, Uniqueness and stability of nonnegative solutions for semipositone problems in a ball, Proc. AMS. to appear.
5. V. Anuradha and R. Shivaji, Existence of infinitely many nontrivial bifurcation points, Result. Math. 22 (1992), 641-650.
6. K. J. Brown and R. Shivaji, Instability of nonnegative solutions for a class of semipositone problems, Proc. AMS 112, No. 1 (1991), 121-124.
7. A. Castro and S. Gadam, Uniqueness of stable and unstable positive solutions for semipositone problems, J. Nonlinear Anal., to appear.
8. A. Castro and A. Kurepa, Infinitely many solutions to a superlinear Dirichlet problem in a ball, Proc. AMS 101, No. 1 (1987), 57-64.
9. A. Castro and R. Shivaji, Non-negative solutions for a class of non-positone problems, Proc. Roy. Soc. Edin. Sect. A 108 (1988), 291-302.
10. A. Castro and R. Shivaji, Nonnegative solutions for a class of radially symmetric non- positone problems, Proc. AMS 106, No. 3 (1989), 735-740.
11. W. Jager and K. Schmitt, Symmetry breaking in semilinear elliptic problems, in “Analysis Etc.” (Rabinowitz and Zehnder, Eds.), pp. 451-470, Academic Press, New York, 1990.
12. J. Smoller and A. Wasserman, Symmetry breaking for positive solutions of semilinear elliptic equations. Arch. Rat. Mech. Anal. 95 (1986), 217-225.