Multiplicity of solutions for asymptotically quadratic Dirac-Poisson system with non-periodic potential

2021 ◽  
pp. 107304
Author(s):  
Fangfang Liao ◽  
Jian Zhang ◽  
Jianwen Chen
Keyword(s):  
Periodic Potential ◽  
Poisson System ◽  
Multiplicity Of Solutions

scholarly journals Multiplicity Results for a Class of Kirchhoff-Schrödinger-Poisson System Involving Sign-Changing Weight Functions

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Dandan Yang ◽  
Chuanzhi Bai
Keyword(s):  
Nehari Manifold ◽  
Weight Functions ◽  
Poisson System ◽  
Multiplicity Results ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

This paper deals with the Kirchhoff-Schrödinger-Poisson system involving sign-changing weight functions. We prove the existence and multiplicity of solutions to the system. Our main results are based on the method of Nehari manifold.

Existence and multiplicity of solutions for Kirchhoff–Schrödinger–Poisson system with critical growth

2021 ◽  
Author(s):  
Guofeng Che ◽  
Haibo Chen
Keyword(s):  
Variational Methods ◽  
Critical Growth ◽  
Poisson System ◽  
Nontrivial Solutions ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

This paper is concerned with the following Kirchhoff–Schrödinger–Poisson system: [Formula: see text] where constants [Formula: see text], [Formula: see text] and [Formula: see text] are the parameters. Under some appropriate assumptions on [Formula: see text], [Formula: see text] and [Formula: see text], we prove the existence and multiplicity of nontrivial solutions for the above system via variational methods. Some recent results from the literature are greatly improved and extended.

scholarly journals Multiplicity of solutions for Schrödinger-Poisson system with critical exponent in $\mathbb{R}^{3}$

2021 ◽  
Vol 6 (3) ◽  
pp. 2059-2077
Author(s):  
Xueqin Peng ◽  
◽  
Gao Jia ◽  
Chen Huang ◽  
Keyword(s):  
Critical Exponent ◽  
Poisson System ◽  
Multiplicity Of Solutions

Existence and multiplicity of solutions of Schrödinger—Poisson systems with radial potentials

2014 ◽  
Vol 144 (2) ◽  
pp. 319-332 ◽  
Author(s):  
Anran Li ◽  
Jiabao Su ◽  
Leiga Zhao
Keyword(s):  
Variational Methods ◽  
Infinitely Many Solutions ◽  
Poisson System ◽  
Radial Solutions ◽  
Radial Functions ◽  
Multiplicity Of Solutions ◽  
Nonlinear Schrödinger ◽  
Existence And Multiplicity ◽  
Image Position

In this paper, we deal with the nonlinear Schrödinger–Poisson systemwhere λ > 0, V and Q are radial functions, which can be vanishing or coercive at ∞. With assumptions on f just in a neighbourhood of the origin, existence and multiplicity of non-trivial radial solutions are obtained via variational methods. In particular, if f is sublinear and odd near the origin, we obtain infinitely many solutions of (SP)λ for any λ < 0.

Study of potential oscillations during reaction of an aluminium single crystal with an aqueous KOH solution

1990 ◽  
Vol 55 (2) ◽  
pp. 345-353 ◽  
Author(s):  
Ivan Halaša ◽  
Milica Miadoková
Keyword(s):  
Aqueous Solutions ◽  
Single Crystal ◽  
Single Crystals ◽  
Periodic Potential ◽  
Optimum Conditions ◽  
Potential Oscillations ◽  
Dilute Aqueous Solutions ◽  
Experimental Findings ◽  
Kinetics Of

The authors investigated periodic potential changes measured on oriented sections of Al single crystals during spontaneous dissolution in dilute aqueous solutions of KOH, with the aim to find optimum conditions for the formation of potential oscillations. It was found that this phenomenon is related with the kinetics of the reaction investigated, whose rate also changed periodically. The mechanism of the oscillations is discussed in view of the experimental findings.

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