A note on the existence of infinitely many radially symmetric solutions of a quasilinear elliptic problem

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 4, Issue 2, 1998, Pages 227-239

  Njoku, Franic Ikechukwu ^a,b  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b UNIVERSITY OF NIGERIA   (Nigeria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042890073     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. A. Castro and A. Kurepa, Infinitely many radially symmetric solutions to a superlinear Dirichlet problem in a ball, Proc. Amer. Math. Soc., 101 (1987), 57-64.
2. A. Castro and A. Kurepa, Radially symmetric solutions to a superlinear Dirichlet problem in a ball with jumping nonlinearities, Trans. Amer. Math. Soc., 315 (1989), 353-372.
3. Y. Cheng, On the existence of radial solutions of a nonlinear elliptic equation on the unit ball, Nonlinear Analysis, 24 (1995), 287-307.
4. D.G. Costa and D.G. de Figueiredo, Radial solutions for a Dirichlet problem in a ball, J. Differential Equations, 60 (1985), 80-89.
5. A. El Hachimi and F. de Thelin, Infinité de solutions radiales pour un problème elliptique superlinéaire dans une boule, C. R. Acad. Sci. Paris, 315 (1992), 1171-1174.
6. A. El Hachimi and F. de Thelin, Infinitely many radially symmetric solutions for a quasilinear elliptic problem in a ball, J. Differential Equations, in press.
7. M. J. Esteban, Multiple solutions of semilinear elliptic problems in a ball, J. Differential Equations, 57 (1985), 112-137.
8. M. García-Huidobro, R. Manásevich and F. Zanolin, Infinitely many solutions for a Dirichlet problem with a non homogeneous p-Laplacian like operator in a ball, Advances in Differential Equations, in press.
9. G. M. Liebermann, Gradient bounds for solutions of nonuniformly elliptic oblique derivative problems, Nonlinear Analysis, 11 (1987), 49-61.
10. F.I. Njoku, P. Omari and F. Zanolin, Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball, preprint 1996.
11. P. Omari and F. Zanolin, Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential, Comm. Partial Differential Equations, 21 (1996), 721-733.
12. M. Struwe, Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems, Manuscripta Math., 32 (1980), 335-364.
13. M. Struwe, Superlinear elliptic boundary value problems with rotational symmetry, Arch. Math., 39 (1982), 233-240.
14. P. Tolksdorf, On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm. Partial Differential Equations, 8 (1983), 773-817.