Zribi, Malek2021-07-192021-07-192006-08-15Zribi, M. (2006). Existence results for nonlinear elliptic equations in bounded domains of ℝn. <i>Electronic Journal of Differential Equations, 2006</i>(92), pp. 1-11.1072-6691https://hdl.handle.net/10877/13965We establish existence results for the boundary-value problem Δu + ƒ(., u) = 0 in a smooth bounded domain in ℝn (n ≥ 2), where ƒ satisfies some appropriate conditions related to a Kato class. The proofs are based on various techniques related to potential theory.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalGreen functionElliptic equationPositive solutionsArticle