We apply a fixed point theorem for increasing operators in ordered Banach spaces to prove the existence of extremal (i.e. maximal or minimal) solutions for the variational inequality where is the -Laplacian and with being a function, non-decreasing in and non-increasing in .
Cite this article
Nguyen Bich Huy, Nguyen Duy Thanh, Tran Dinh Thanh, Extremal Solutions for a Class of Unilateral Problems. Z. Anal. Anwend. 21 (2002), no. 2, pp. 371–380DOI 10.4171/ZAA/1083