Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential

Abstract

Problem of the type −∆pu = f(u) + h(x) in (a, b) with u = 0 on {a, b} is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of (−∆p,W 1,p 0 (a, b)), only on a primitive of f . 

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