Results 101 to 110 of about 2,202 (138)

Ground state solutions for asymptotically periodic Schrodinger-Poisson systems in R^2

Electronic Journal of Differential Equations, 2018
This article concerns the planar Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+\phi u=f(x,u), \quad x\in \mathbb{R}^2,\cr \Delta \phi= u^2, \quad x\in \mathbb{R}^2, } $$ where V(x) and f(x, u) are periodic or asymptotically periodic in
Jing Chen, Sitong Chen, Xianhua Tang
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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]

Calc Var Partial Differ Equ
Ghosh S, Kumar V, Ruzhansky M.
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Nehari manifold approach for a singular multi-phase variable exponent problem

This paper is concerned with a singular multi-phase problem with variable singularities. The main tool used is the Nehari manifold approach. Existence of at least two positive solutions with positive-negative energy levels are obtained.
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Nehari Manifold for Weighted Singular Fractional p-Laplace Equations

Bulletin of the Brazilian Mathematical Society, New Series, 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.
Vanterler da C. Sousa, J., Ledesma, César T., Pigossi, Mariane, Zuo, Jiabin   +3 more
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Solutions of the mean curvature equation with the Nehari manifold

Computational and Applied Mathematics, 2023
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J. Vanterler da C. Sousa, D. S. Oliveira, Leandro S. Tavares   +2 more
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Nehari manifold and fibering map approach for fractional p(.)-Laplacian Schrödinger system

SeMA Journal, 2023
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El-Houari, Hamza, Chadli, Lalla Saadia, Hicham, Moussa   +2 more
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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) \((y_{m})_{m\geq 1}\)
Zhong, Xuexiu, Zou, W.
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The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent

Applied Mathematics and Computation, 2012
The authors study the combined effect of concave and convex nonlinearities on the number of solutions for an indefinite semilinear elliptic system of the type \[ \begin{cases} -\Delta u=f_\lambda(x)|u|^{q-2}u+{\alpha\over{\alpha+\beta}}h(x)|u|^{\alpha-2}u|v|^\beta &\text{in}\;\Omega,\\ -\Delta v=g_\mu(x)|v|^{q-2}v+{\beta\over{\alpha+\beta}}h(x)|u ...
Chen, Ching-yu, Wu, Tsung-fang
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Nehari manifold and fractional Dirichlet boundary value problem

Analysis and Mathematical Physics, 2022
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Vanterler da C. Sousa, José, Nyamoradi, Nemat, Lamine, M.   +2 more
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The Nehari manifold for double‐phase problems with convex and concave nonlinearities

Mathematische Nachrichten, 2023
AbstractThe aim of this paper is to establish the multiplicity of solutions for double‐phase problem. Employing the Nehari manifold approach, we show that the problem has at least two nontrivial solutions.
Cao, Qing-Hai, Ge, Bin, Zhang, Yu-Ting
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