On a Class of Singular Sublinear p-Laplacian Problems
On a Class of Singular Sublinear p-Laplacian Problems
We establish existence results for positive solutions of the boundary value problem$¥left¥{ ¥begin{array}{l} (q(t)¥phi (u^{¥prime }))^{¥prime }+¥lambda r(t)f(u)=0,¥;t¥in (a,b) ¥¥ u(a)=u(b)=0,¥end{array}¥right.$where φ(x) = |x|p - 2 x, p > 1, q ∈ C[a,b], r ∈ L1 (a,b), f is allowed to have negative values and become infinite at 0, and …