Uniqueness of non-negative solutions conjectured in an earlier paper by Shivaji is proved. Our methods are independent of those of that paper, where the problem was considered only in a ball. Further, our results apply to a wider class of nonlinearities.
© 1984 Royal Society of Edinburgh
A. Castro and R. Shivaji. “Uniqueness of positive solutions for a class of elliptic boundary value problems,” Proc. of the Royal Soc. of Edinburgh, 98A (1984), pp. 267-269.