Results 71 to 80 of about 740 (152)
A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
Abstract and Applied Analysis, 2014 We study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order
Huafeng Xiao
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Electronic Journal of Differential Equations, 2011 By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality.
Ying Shen, Jihui Zhang
doaj
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, the existence and multiplicity of positive solutions for a critical singular elliptic system with concave and convex nonlinearity and sign-changing weight function, are established.
Huixing Zhang
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Nehari manifold and multiplicity result for elliptic equation involving p-laplacian problems
Boletim da Sociedade Paranaense de Matemática, 2018 This article shows the existence and multiplicity of positive solutions of the $p$-Laplacien problem $$\displaystyle -\Delta_{p} u=\frac{1}{p^{\ast}}\frac{\partial F(x,u)}{\partial u} + \lambda a(x)|u|^{q-2}u \quad \mbox{for } x\in\Omega;\quad \quad u=0,\quad \mbox{for } x\in\partial\Omega$$ where $\Omega$ is a bounded open set in $\mathbb{R}^n$ with ...
Khaled Ben Ali, Abdeljabbar Ghanmi
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Nehari manifold approach for fractional Kirchhoff problems with extremal value of the parameter
, 2023 In this work we study the following nonlocal problem \begin{equation*} \left\{ \begin{aligned} M(\|u\|^2_X)(-\Delta)^s u&= \lambda {f(x)}|u|^{\gamma-2}u+{g(x)}|u|^{p-2}u &&\mbox{in}\ \ \Omega, u&=0 &&\mbox{on}\ \ \mathbb R^N\setminus \Omega, \
Tripathi, V. M., Mishra, P. K.
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Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian
Mathematics, 2019 This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems ...
Xiaoyan Shi, Yulin Zhao, Haibo Chen
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Existence of critical points of functionals defined in Banach spaces by method of Nehari manifold
, 2020 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESIn this work we present a unified approach about the method of Nehari manifold for functionals which have a local minimum at 0 and we do some examples where this method is applied in ...
Sanches, Juliana Mancini
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Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions
Sahand Communications in Mathematical Analysis, 2014 In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
Seyyed Sadegh Kazemipoor +1 more
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Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping
Journal of Function Spaces, 2015 This paper is concerned with the nonlinear Schrödinger lattice with nonlinear hopping. Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state.
Ming Cheng
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The Nehari manifold approach for $p(x)$-Laplacian problem with Neumann boundary condition
, 2013 In this paper, we consider the system \begin{eqnarray*} \left\{\begin{array}{ll} -\Delta_{p(x)} u + |u|^{p(x)-2}u = \lambda a(x)|u|^{r_1(x)-2}u + \frac{\alpha(x)}{\alpha(x) + \beta(x)} c(x)|u|^{\alpha(x)-2}u|v|^{\beta(x)} &~\textrm{in}~\Omega\\ -
Taghavi, A. +5 more
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