Instability of nonnegative solutions for a class of semilinear elliptic boundary value problems

Journal of Computational and Applied Mathematics

Volumn 88, Issue 1, 1998, Pages 125-128

  Maya, C ^a   Shivaji, R ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Instability; Nonnegative solutions

Indexed keywords

BOUNDARY CONDITIONS; STABILITY;

NONNEGATIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0032001625     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00209-4     Document Type: Article

References (5)

1. K.J. Brown, R. Shivaji, Instability of nonnegative solutions for a class of semipositone problems, Proc. AMS 112 (1) (1991) 121-124.
2. A. Castro, J. Cossio, J.M. Neuberger, A sign-changing solution for a superlinear Dirichlet problem, Rocky Mountain. J. Math., to appear.
3. A. Castro, R. Shivaji, Semipositone problems, semigroups of linear and nonlinear operators and applications, in: J.A. Goldstein, G. Goldstein (Eds.), Nonlinear Operators and Applications, Kluwer Academic Publishers, New York, 1993, pp. 109-119 (invited review paper).
4. D.H. Sattinger, Monotone method in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J. 21 (11) (1972) 979-1000.
5. A. Tertikas, Stability and instability of positive solutions of semi-positone problems, Proc. AMS 114 (4) (1992) 1035-1040.