Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents

2021 ◽  
Vol 28 (6) ◽  
Author(s):  
Yao Du ◽  
Jiabao Su
Keyword(s):  
Critical Exponents ◽  
Ground State ◽  
Ground State Solutions

scholarly journals Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Min Liu ◽  
Xiaorui Yue
Keyword(s):  
Magnetic Fields ◽  
Schrödinger Equation ◽  
Critical Exponents ◽  
Ground State ◽  
Schrodinger Equation ◽  
Ground State Solutions

A Schrödinger equation and system with magnetic fields and Hardy-Sobolev critical exponents are investigated in this paper, and, under proper conditions, the existence of ground state solutions to these two problems is given.

Quasilinear elliptic problems with critical exponents and Hardy terms in ℝN

2010 ◽  
Vol 53 (1) ◽  
pp. 175-193 ◽  
Author(s):  
Dongsheng Kang
Keyword(s):  
Variational Methods ◽  
Elliptic Problem ◽  
Critical Exponents ◽  
Ground State ◽  
Elliptic Problems ◽  
Ground State Solutions ◽  
Quasilinear Elliptic Problem ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

AbstractWe deal with a singular quasilinear elliptic problem, which involves critical Hardy-Sobolev exponents and multiple Hardy terms. Using variational methods and analytic techniques, the existence of ground state solutions to the problem is obtained.

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

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