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Existence and multiplicity of positive solutions for singular semipositone $p$-laplacian equations
(Canadian Mathematical Society, 2006-06-01)
Positive solutions are obtained for the boundary value problem
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Here f(t, u) >= -M, (M is a positive constant) for (t, u) is an element of [0, 1] X (0, infinity). We will show the existence of two positive ...
Some new results for singular problems with sign changing nonlinearities
(Elsevier BV, 2000-01-01)
Eigenvalues and the one-dimensional p-laplacian
(Elsevier BV, 2002-02-01)
Singular problems modelling phenomena in the theory of pseudoplastic fluids
(Cambridge University Press (CUP), 2003-10-01)
Existence criteria are presented for nonlinear singular initial and boundary value problems. In particular our theory includes a problem arising in the theory of pseudoplastic fluids.
Separable anisotropic differential operators in weighted abstract spaces and applications
(Elsevier BV, 2008-02-01)
Solutions of a system of integral equations in orlicz spaces
(Rocky Mountain Mathematics Consortium, 2009-12-01)
We consider the following system of integral equations
u(i)(t) = integral(1)(0) g(i)(t, s)f(i) (s, u(1)(s), u(2)(s),...,u(n)(s)) ds,
a.e. t is an element of [0,1]. 1 <= i <= n.
Our aim is to establish criteria ...