ABSTRACT
Let D be a bounded domain of Euclidean space R N, N ≥ 2, with smooth boundary ∂D; its closure D ¯ = D ∪ ∂ D https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187810/28005645-324c-4d25-a9e4-00a49a74dffd/content/inq_chapter36_421_1.tif"/> is an N-dimensional, compact smooth manifold with boundary. In this paper we consider the following semilinear elliptic boundary value problem arising in chemical reactor theory (cf. [3]): { A u : = ( − Δ+ c ( x ) ) u = λ exp [ u 1 + ε u ] in D , B u : = ∂ u ∂ n + b ( x ′ ) u = 0 on ∂ D . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187810/28005645-324c-4d25-a9e4-00a49a74dffd/content/equ_chapter36_421_1.tif"/> (*)λ
