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Nehari type solutions for fractional Hamiltonian systems

In this paper, we are interested in the existence and multiplicity of solutions for a class of fractional Hamiltonian systems. Our approach is based on the direct method of minimization and with the help of Nehari manifold.Nehari manifold; Fractional ...
Khaled, Khachnaoui
core  

Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities

Electronic Journal of Differential Equations, 2014
In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
doaj  

Existence of positive ground solutions for biharmonic equations via Pohožaev-Nehari manifold

, 2018
We investigate the following nonlinear biharmonic equations with pure power nonlinearities: \begin{equation*} \begin{cases} \triangle^2u-\triangle u+V(x)u= u^{p-1}u &\text{in } \mathbb{R}^N,\\ u> 0 &\text{for } u\in H^2(\mathbb{R}^N), \end ...
Chen, Haibo, Xu, Liping
core  

Combined effects of changing-sign potential and critical nonlinearities in Kirchhoff type problems

Electronic Journal of Differential Equations, 2016
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type problems involving changing-sign potential and critical growth terms.
Gao-Sheng Liu, Liu-Tao Guo, Chun-Yu Lei
doaj  

The Nehari Problem

, 2018
The Nehari problem and robust ...
Agah D. Garnadi
core  

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Nehari Manifold for Weighted Singular Fractional p-Laplace Equations

Bulletin of the Brazilian Mathematical Society, 2022
In this paper, the authors consider weighted singular fractional \(p\)-Laplacian problems involving a bounded weight function. Firstly, some auxiliary results about the \(\psi\)-Riemann-Liouville fractional integral and \(\psi\)-Hilfer fractional derivatives are given.
Jiabin Zuo, J Vanterler da C Sousa, Sousa J Vanterler da C   +2 more
exaly   +2 more sources

The Nehari Manifold of Biharmonic Equations With p-Laplacian and Singular Potential

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juntao Sun, Tsung-Fang Wu
exaly   +3 more sources

The Nehari manifold for a semilinear elliptic equation involving a sublinear term

Calculus of Variations and Partial Differential Equations, 2004
The author discusses the problem of existence and multiplicity of non-negative solutions to the problem \[ \begin{cases} -\Delta u(x)=\lambda u(x)+b(x)| u(x)| ^{\gamma-2}u(x)& \text{for }u\in\Omega\\ u(x)=0& \text{for }x\in\partial\Omega,\end{cases}\eqno(1) \] where \(\Omega\subset \mathbb R^N\) is a smooth bounded domain, \(b:\Omega\to \mathbb R\) a ...
Brown, K. J.
openaire   +3 more sources

The Nehari Manifold and Application to a Semilinear Elliptic System

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

Ground State and Multiple Solutions via Generalized Nehari Manifold

Nonlinear Analysis: Theory, Methods & Applications, 2014
In this paper, the authors study a class of superlinear elliptic equations \[ -\Delta u+V(x)u=f(x,u),\;u\in H^{1}_{0}(\Omega) \] where \(\Omega\subset\mathbb R^{N}\) is a periodic domain, i.e. there exist a partition \((Q_{m})_{m\geq 1}\) of \(\Omega\) and a sequence of points \((y_{m})_{m\geq 1}\subset\mathbb R^{N}\) such that (i) \((y_{m})_{m\geq 1}\)
X Zhong
exaly   +3 more sources