Landesman-Lazer condition revisited: the influence of vanishing and oscillating nonlinearities
classification
🧮 math.AP
keywords
conditionlandesman-lazernonlinearitiesoscillatingvanishingasymptoticcasesclassical
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In this paper we deal with semilinear problems at resonance. We present a sufficient condition for the existence of a weak solution in terms of the asymptotic properties of nonlinearity. Our condition generalizes the classical Landesman-Lazer condition but it also covers the cases of vanishing and oscillating nonlinearities.
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