On a singular nonlinear elliptic boundary-value problem
Alan C. Lazer, P. Joseph McKenna · Proceedings of the American Mathematical Society · 1991
We consider the singular boundary-value problem Au+p(x)u~7 = 0 in d, u | 9Í2 = 0 , where y > 0 .Under the assumption p(x) > 0 and certain smoothness assumptions, we show that there exists a solution which is smooth on £2 and continuous on Í2 .