Dead cores of singular Dirichlet boundary value problems with φ-Laplacian

Authors

Ravi P. Agarwal
Donal O'Regan
Svatoslav Staněk

Document Type

Article

Publication Title

Applications of Mathematics

Abstract

The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.

First Page

381

Last Page

399

DOI

10.1007/s10492-008-0031-z

Publication Date

8-2008

Recommended Citation

Agarwal, R. P., O'Regan, D., & Staněk, S. (2008). Dead cores of singular dirichlet boundary value problems with φ-laplacian. Applications of Mathematics, 53(4), 381-399.