Dead cores of singular dirichlet boundary value problems with ϕ-laplacian
Agarwal, Ravi P.
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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
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 &gt; 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.