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

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Publication:2803198
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DOI10.14232/ejqtde.2015.1.68zbMath1349.35089arXiv1504.06132OpenAlexW2963657681MaRDI QIDQ2803198

Martina Langerová, Pavel Drábek

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06132


zbMATH Keywords

critical pointssemilinear equationsaddle point theoremLandesman-Lazer conditionresonance problem


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Resonance in context of PDEs (35B34) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)


Related Items (3)

Remarks on a semilinear system in ℝ n motivated by difference equations ⋮ Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited




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