arXiv:1504.06132 Abstract | arXiv Analytics

arXiv:1504.06132 [math.AP]Abstract References Reviews Resources

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

Published 2015-04-23Version 1

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.

Categories: math.AP

Subjects: 35J20, 35J25, 35B34, 35B38

Keywords: nonlinearity, landesman-lazer condition, oscillating nonlinearities, semilinear problems, sufficient condition

Related articles: Most relevant | Search more

arXiv:2006.02010 [math.AP] (Published 2020-06-03)

On critical elliptic problems with singular Trudinger-Moser nonlinearities

Shiqiu Fu, Kanishka Perera

arXiv:1307.7890 [math.AP] (Published 2013-07-30)

Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities

Donghyun Kim, Hideaki Sunagawa

arXiv:2004.03215 [math.AP] (Published 2020-04-07)

Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities