Infinitely many solutions and concentration of ground state solutions for the Klein-Gordon-Maxwell system

2021 ◽  
pp. 125521
Author(s):  
Xiao-Qi Liu ◽  
Chun-Lei Tang
Keyword(s):  
Ground State ◽  
Infinitely Many Solutions ◽  
Maxwell System ◽  
Ground State Solutions ◽  
Klein Gordon

scholarly journals Positive ground state solutions for the critical Klein–Gordon–Maxwell system with potentials

2012 ◽  
Vol 75 (10) ◽  
pp. 4068-4078 ◽  
Author(s):  
Paulo C. Carrião ◽  
Patrícia L. Cunha ◽  
Olímpio H. Miyagaki
Keyword(s):  
Ground State ◽  
Maxwell System ◽  
Ground State Solutions ◽  
Klein Gordon

Ground State Solutions for the Critical Klein-Gordon-Maxwell System

2019 ◽  
Vol 39 (5) ◽  
pp. 1451-1460
Author(s):  
Lixia Wang ◽  
Xiaoming Wang ◽  
Luyu Zhang
Keyword(s):  
Ground State ◽  
Maxwell System ◽  
Ground State Solutions ◽  
Klein Gordon

Concentration of Positive Ground State Solutions for Schrödinger–Maxwell Systems with Critical Growth

2016 ◽  
Vol 16 (3) ◽  
Author(s):  
Minbo Yang
Keyword(s):  
Critical Exponents ◽  
Ground State ◽  
Critical Growth ◽  
Maxwell System ◽  
Ground State Solutions

AbstractIn this paper, we study the following Schrödinger–Maxwell system with critical exponents inUnder suitable assumptions on the potentials

scholarly journals Ground state solutions and infinitely many solutions for a nonlinear Choquard equation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Tianfang Wang ◽  
Wen Zhang
Keyword(s):  
Ground State ◽  
Nehari Manifold ◽  
Existence Results ◽  
Infinitely Many Solutions ◽  
Choquard Equation ◽  
Ground State Solutions ◽  
Existence And Multiplicity ◽  
Variational Tools ◽  
Nonlinear Choquard Equation ◽  
The Nehari Manifold

AbstractIn this paper we study the existence and multiplicity of solutions for the following nonlinear Choquard equation: $$\begin{aligned} -\Delta u+V(x)u=\bigl[ \vert x \vert ^{-\mu }\ast \vert u \vert ^{p}\bigr] \vert u \vert ^{p-2}u,\quad x \in \mathbb{R}^{N}, \end{aligned}$$ − Δ u + V ( x ) u = [ | x | − μ ∗ | u | p ] | u | p − 2 u , x ∈ R N , where $N\geq 3$ N ≥ 3 , $0<\mu <N$ 0 < μ < N , $\frac{2N-\mu }{N}\leq p<\frac{2N-\mu }{N-2}$ 2 N − μ N ≤ p < 2 N − μ N − 2 , ∗ represents the convolution between two functions. We assume that the potential function $V(x)$ V ( x ) satisfies general periodic condition. Moreover, by using variational tools from the Nehari manifold method developed by Szulkin and Weth, we obtain the existence results of ground state solutions and infinitely many pairs of geometrically distinct solutions for the above problem.

Sign in / Sign up

Export Citation Format

Share Document