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Relevant bibliographies by topics / Ahmad-Lazer-Paul condition

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Academic literature on the topic 'Ahmad-Lazer-Paul condition'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Ahmad-Lazer-Paul condition"

1

Boscaggin, Alberto, and Maurizio Garrione. "Planar Hamiltonian systems at resonance: the Ahmad–Lazer–Paul condition." Nonlinear Differential Equations and Applications NoDEA 20, no. 3 (2012): 825–43. http://dx.doi.org/10.1007/s00030-012-0181-2.

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2

Recova, Leandro L., and Adolfo J. Rumbos. "asymmetric problem at resonance with a one-sided Ahmad-Lazer-Paul condition." Electronic Journal of Differential Equations, Special Issue 01 (October 6, 2021): 183–202. http://dx.doi.org/10.58997/ejde.sp.01.r2.

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In this article, we study the semilinear elliptic boundary value problem $$\displaylines{ -\Delta u = -\lambda_1u^{-}+g(x,u),\quad \text{in }\Omega;\cr u =0,\quad \text{on }\partial\Omega, }$$ where \(u^{-}\) denotes the negative part of \(u:\Omega\to \mathbb{R}\); \(\lambda_1\) is the first eigenvalue of the N-dimensional Laplacian with Dirichlet boundary conditions in a connected, open, bounded set \(\Omega\subset\mathbb{R}^N\), \(N\geq 2\); and \(g: \overline{\Omega}\times\mathbb{R}\to\mathbb{R}\) is a continuous function. Assuming a one-sided Ahmad-Lazer-Paul condition, we establish condit

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3

Benjamin, Noah, Leandro Recôva, and Adolfo Rumbos. "Existence and multiplicity of periodic solutions for a second-order ODE at resonance with an Ahmad–Lazer–Paul condition." Results in Applied Mathematics 17 (February 2023): 100345. http://dx.doi.org/10.1016/j.rinam.2022.100345.

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Benjamin, Noah, Leandro Recôva, and Adolfo Rumbos. "Corrigendum to “Existence and multiplicity of periodic solutions for a second-order ODE at resonance with an Ahmad–Lazer–Paul condition” [Results Appl. Math. 17 (2023) 100345]." Results in Applied Mathematics 18 (May 2023): 100369. http://dx.doi.org/10.1016/j.rinam.2023.100369.

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5

Han, Zhi-Qing. "Nontrivial solutions of a semilinear elliptic problem via variational methods." Bulletin of the Australian Mathematical Society 69, no. 2 (2004): 267–75. http://dx.doi.org/10.1017/s0004972700036005.

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Using variational methods, we investigate the existence of nontrivial solutions of a nonlinear elliptic boundary value problem at resonance under generalised Ahmad-Lazer-Paul conditions. Some new results are obtained and some results in the literature are improved.

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Fonda, Alessandro, and Maurizio Garrione. "Nonlinear Resonance: a Comparison Between Landesman-Lazer and Ahmad-Lazer-Paul Conditions." Advanced Nonlinear Studies 11, no. 2 (2011). http://dx.doi.org/10.1515/ans-2011-0209.

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AbstractWe show that the Ahmad-Lazer-Paul condition for resonant problems is more general than the Landesman-Lazer one, discussing some relations with other existence conditions, as well. As a consequence, such a relation holds, for example, when considering resonant boundary value problems associated with linear elliptic operators, the p-Laplacian and, in the scalar case, with an asymmetric oscillator.

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Dissertations / Theses on the topic "Ahmad-Lazer-Paul condition"

1

Garrione, Maurizio. "Existence and multiplicity of solutions to boundary value problems associated with nonlinear first order planar systems." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4930.

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The monograph is devoted to the study of nonlinear first order systems in the plane where the principal term is the gradient of a positive and positively 2-homogeneous Hamiltonian (or the convex combination of two of such gradients). After some preliminaries about positively 2-homogeneous autonomous systems, some results of existence and multiplicity of T-periodic solutions are presented in case of bounded or sublinear nonlinear perturbations. Our attention is mainly focused on the occurrence of resonance phenomena, and the corresponding results rely essentially on conditions of Landesman-Laz

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