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A general existence principle for strong solutions to the dirichlet problem for the equation δ u + f(t, u) = 0
(Elsevier BV, 1997-05-01)
An existence principle is established for Delta u + f(t, u) = 0 on Omega, u = 0 on partial derivative Omega. Our theory relies on a fixed point result for weakly sequentially continuous and weakly compact maps.
Positive solutions to singular initial value problems with sign changing nonlinearities
(Elsevier BV, 1998-08-01)
Multiple solutions for the dirichlet second-order boundary value problem of nonsingular type
(Elsevier BV, 1999-04-01)
Periodic solutions for abstract operator equations
(Elsevier BV, 1999-07-01)
Singular differential equations with linear and nonlinear boundary conditions
(Elsevier BV, 1998-02-01)
Existence results are established for the singular equation y " + f(t, y) = 0, where f is not a Caratheodory function. Our nonlinearity f is allowed to change sign.