Publication

Dead cores of singular dirichlet boundary value problems with ϕ-laplacian

Agarwal, Ravi P.
O’Regan, Donal
Staněk, Svatoslav
Citation
Agarwal, Ravi P. O’Regan, Donal; Staněk, Svatoslav (2008). Dead cores of singular dirichlet boundary value problems with ϕ-laplacian. Applications of Mathematics 53 (4), 381-399
Abstract
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (phi(u'))' = lambda f(t, u, u'), u(0) = u(T) = A. Here lambda 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.
Funder
Publisher
Institute of Mathematics, Czech Academy of Sciences
Publisher DOI
10.1007/s10492-008-0031-z
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland