Results 81 to 90 of about 348 (123)

Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]

ScientificWorldJournal, 2014
Sun G, Mai A.
europepmc   +1 more source

Multiple solutions for a singular quasilinear elliptic system. [PDF]

ScientificWorldJournal, 2013
Chen L, Chen C, Xiu Z.
europepmc   +1 more source

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  

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
doaj  

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.
europepmc   +1 more source

Localization of Critical Points in Annular Conical Sets via the Method of Nehari Manifold

Mediterranean Journal of Mathematics
Abstract Using the Nehari manifold method, we establish sufficient conditions, such that a smooth functional attains a ground state within an annular domain of a closed cone. The localization we obtain immediately allows for multiplicity when applied to disjoint conical sets. To illustrate our results, we consider a two-point boundary
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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, Zuo Jiabin   +2 more
exaly   +2 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.
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Nehari manifold and fibering map approach for fractional p(.)-Laplacian Schrödinger system

SeMA Journal, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chadli Lalla Saadia, Lalla Saadia Chadli, El-Houari Hamza   +2 more
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) \((y_{m})_{m\geq 1}\)
Zhong, Xuexiu, Zou, W.
exaly   +3 more sources