Nonresonant Nonlinear Singular Problems in the Limit Circle Case

Existence results are presented for the ‘‘nonresonant’’ singular boundary value problem 1rp. py9.9qmqysf t, y.a.e. onw0, 1xwith lim tª0q p t.y9 t.s y 1.s0. Here we do not assume H01 dsrp s..- ` but only that H01 1rp s.. H0s p x.q x. dx.1r2 ds-`. As a result the appropriate eigenvalue problem will have a regular endpoint at ts1 and a singular endpoint of limit circle type at ts0.