Landesman-Lazer condition revisited: the influence of vanishing and\n oscillating nonlinearities

2015/04/23 by Pavel Drábek, Pavel Drabek, Drabek, Pavel +3
Mathematics · #35B38 #35J25 #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Primary 35J20 #Secondary 35B34 #math.AP #msc:35B34 #msc:35B38 #msc:35J20 #msc:35J25

paper · pdf · doi:10.48550/arxiv.1504.06132

arxiv created 2015/04/23 · openalex publication_date 2015/04/23 · arxiv updated 2015/04/24 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In this paper we deal with semilinear problems at resonance. We present a\nsufficient condition for the existence of a weak solution in terms of the\nasymptotic properties of nonlinearity. Our condition generalizes the classical\nLandesman-Lazer condition but it also covers the cases of vanishing and\noscillating nonlinearities.\n

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