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Dead cores of singular dirichlet boundary value problems with ϕ-laplacian
(Institute of Mathematics, Czech Academy of Sciences, 2008-07-30)
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 ...
Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals
(Division of Functional Equations, The Mathematical Society of Japan (JST), 2008-01-01)
The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x'(t))' + Phi(t)f(t,x,px') ...