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On the Ambrosetti–Prodi Problem for Non-Variational Elliptic Systems
[chapter]

2007
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Djairo G. de Figueiredo - Selected Papers
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We study the Ambrosetti-Prodi problem for nonlinear elliptic equations and systems, with uniformly elliptic operators in non-divergence form and non-smooth coefficients, and with nonlinearities with linear or power growth. 1 Problem (1) is said to be of Ambrosetti-Prodi type provided there exist constants a, b, C such that b > λ 1 > a, and for all x ∈ Ω, This hypothesis is equivalent to the existence of constants a , b such that lim sup A typical result in this setting states (AP) There exists

doi:10.1007/978-3-319-02856-9_39
fatcat:srkpt6czljeoxaw5nolbs5i4xq