Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems Original Research Article

By applying the properties of the unique classical solution to the singular boundary value problem on half line −p″(s)=g(p(s)),p(s)>0,s∈(0,∞),p(0)=0,lims→∞p′(s)=b⩾0, and constructing the new comparison functions, they show the existence and the optimal global estimates of solutions to singular nonlinear Dirichlet problems View the MathML source, where Ω is a bounded domain with smooth boundary in RN;g(s) is nonincreasing and positive in View the MathML source is positive in Ω, and may be singular or zero on the boundary.