Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T12:09:24.000Z Has data issue: false hasContentIssue false

Singular boundary value problems for P-Laplacian-like equations

Published online by Cambridge University Press:  14 November 2011

D. D. Hai
Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Drawer MA, Mississippi State, MS 39762, U.S.A. e-mail: [email protected]
Seth F. Oppenheimer
Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Drawer MA, Mississippi State, MS 39762, [email protected]

Synopsis

We consider the existence of positive solutions to a class of singular nonlinear boundary value problems for P-Laplacian-like equations. Our approach is based on the Schauder Fixed-Point Theorem.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Bobisud, L., O'Reagon, D. and Royalty, W.. Solvability of some nonlinear boundary value problems. Nonlinear Anal. 12 (1988), 855–69.CrossRefGoogle Scholar
2Gatica, J. A., Hernandes, G. E. and Waltman, P.. Radially symmetric solutions of a class of singular elliptic equations. Proc. Edinburgh Math. Soc. 33 (1990), 169–80.CrossRefGoogle Scholar
3Gatica, J. A., Oliker, V. and Waltman, P.. Singular nonlinear boundary value problems for second order ordinary differential equations. J. Differential Equations 79 (1989), 6278.CrossRefGoogle Scholar
4Guo, Z. M.. Existence of positive radial solutions of a class of nonlinear singular elliptic problems in annular domains. Proc. Edinburgh Math. Soc. 35 (1992), 405–18.CrossRefGoogle Scholar
5Nachman, A. and Callegary, A.. A nonlinear boundary value problem in the theory of pseudoplastic fluids. SIAM J. Appl. Math. 38 (1980), 275–81.CrossRefGoogle Scholar
6Taliaferro, S.. A nonlinear singular boundary value problem. Nonlinear Anal. 3 (1979), 897904.CrossRefGoogle Scholar
7Tineo, A.. On a class of singular boundary value problems which contains the boundary conditions xˊ(0) = x(l) = 0. J. Differential Equations 113 (1994), 116.CrossRefGoogle Scholar