Results 81 to 90 of about 145,855 (140)
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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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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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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The Nehari manifold approach for $p(x)$-Laplacian problem with Neumann boundary condition [PDF]
, 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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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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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
In this paper, we consider a nonlocal model of dilatant non-Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
An T., Zhang Z., Vetro C.
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Least energy solutions for indefinite biharmonic problems via modified Nehari–Pankov manifold
, 2018 In this paper, by using a modified Nehari–Pankov manifold, we prove the existence and the asymptotic behavior of least energy solutions for the following indefinite biharmonic equation: [Formula: see text] where [Formula: see text], [Formula: see text], [
Zhongwei Tang, Miaomiao Niu, Lushun Wang
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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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Remarks on a class of quasilinear elliptic systems involving the (p,q)-Laplacian [PDF]
, 2005 We study the Nehari manifold for a class of quasilinear elliptic systems involving a pair of (p,q)-Laplacian operators and a parameter. We prove the existence of a nonnegative nonsemitrivial solution for the systems by discussing properties of the Nehari
Liu, Sanyang +2 more
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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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