We use the Calerkin and compactness method in appropriate weighted Sobolev spaces to prove the existence of a unique weak solution of the nonlinear boundary valued problem
where are given constants and are given functions.
Cite this article
Nguyen Thanh Long, Bui Tien Dung, Ha Duy Hung, A Nonlinear Boundary Value Problem for a Nonlinear Ordinary Differential Operator in Weighted Sobolev Spaces. Z. Anal. Anwend. 19 (2000), no. 4, pp. 1035–1046DOI 10.4171/ZAA/996