scholarly journals Weighted Sobolev spaces and ground state solutions for quasilinear elliptic problems with unbounded and decaying potentials

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Guoqing Zhang
Keyword(s):  
Sobolev Spaces ◽  
Ground State ◽  
Weighted Sobolev Spaces ◽  
Elliptic Problems ◽  
Ground State Solutions ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

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.

Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces

2019 ◽  
pp. 1
Author(s):  
Edcarlos D. Silva ◽  
Marcos Leandro Carvalho ◽  
K. Silva ◽  
José Valdo Gonçalves
Keyword(s):  
Sobolev Spaces ◽  
Elliptic Problems ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

scholarly journals NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS

2007 ◽  
Vol 09 (04) ◽  
pp. 571-583 ◽  
Author(s):  
JIABAO SU ◽  
ZHI-QIANG WANG ◽  
MICHEL WILLEM
Keyword(s):  
Sobolev Spaces ◽  
Ground State ◽  
Symmetric Functions ◽  
Weighted Sobolev Spaces ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Ground State Solutions ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations

We establish some embedding results of weighted Sobolev spaces of radially symmetric functions. The results are then used to obtain ground state solutions of nonlinear Schrödinger equations with unbounded and decaying radial potentials. Our work unifies and generalizes many existing partial results in the literature.

Sign in / Sign up

Export Citation Format

Share Document