Existence and multiplicity of positive radial solutions for a semilinear elliptic equation with change of sign

Applicable Analysis

Volumn 80, Issue 1-2, 2001, Pages 65-77

  Yao, Qingliu ^a  

^a NANJING UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

34B15; 35J20; Boundary value problem in annulus; Elliptic equation with change of sign; Existence; Multiplicity; Positive radial solution

Indexed keywords

EID: 10644222273     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810108840980     Document Type: Article

References (10)

1. Fink, A.M., Gatica, J.A., and Hernandez, G.H., 1993. Eigenvalue of generalized Gelfand model. Nonlinear Anal., 20: 1453–1468.
2. Wang, H., 1994. On the existence of positive solutions for nonlinear elliptic equations in the annulus. J. Differential Equations, 109: 1–7.
3. Erbe, L.H., Hu, S., and Wang, H., 1994. Multiple positive solutions of some boundary value problems. J. Math. Anal. Appl., 109: 640–648.
4. Agarwal, R.P., O'Regan, D., and Wong, P.J.Y., 1999. Positive Solutions of Differential, Difference and Integral Equations, Dordrecht: Kluwer.
5. Cac, N.P., Fink, A.M., and Gatica, J.A., 1995. Nonnegative solutions to the radial Laplacian with nonlinearity that changes sign. Proc. Amer. Math. Soc., 123: 1393–1398.
6. Hai, D.D., 1998. Positive solutions to a class of elliptic boundary value problems. J. Math. Anal. Appl., 227: 195–199.
7. Cac, N.P., Gatica, J.A., and Li, Y., 1999. Positive solutions to semilinear problems with coefficient that changes sign. Nonlinear Anal., 37: 501–520.
8. Jiang, X., and Yao, Q., 2001. An existence theorem of positive solution for a semilinear two-point BVP with change of sign. Appliled Mathematics, 14: 68–71.
9. Yao, Q., 2001. Positive solution of two-point boundary value problem for classical Emden equation with coefficient that changes sign. Acta Analysis Functionalis Applicata, 3: 107–111.
10. Krasnosel'skii, M.A., 1964. Positive Solutions of Operator Equations, Netherland: Noordhoff Gronigen.