scholarly journals Existence and multiplicity of nontrivial solutions for quasilinear elliptic systems

2011 ◽  
Vol 383 (2) ◽  
pp. 423-438 ◽  
Author(s):  
Zeng-Qi Ou ◽  
Chun-Lei Tang
Keyword(s):  
Elliptic Systems ◽  
Nontrivial Solutions ◽  
Existence And Multiplicity ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

scholarly journals EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS INVOLVING CRITICAL HARDY–SOBOLEV EXPONENTS AND SIGN-CHANGING WEIGHT FUNCTION

2012 ◽  
Vol 17 (3) ◽  
pp. 330-350 ◽  
Author(s):  
Nemat Nyamoradi
Keyword(s):  
Weight Function ◽  
Variational Methods ◽  
Positive Solutions ◽  
Elliptic Systems ◽  
Multiple Positive Solutions ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Quasilinear Elliptic Systems ◽  
Sobolev Exponent ◽  
Quasilinear Elliptic

In this paper, we consider a class of quasilinear elliptic systems with weights and the nonlinearity involving the critical Hardy–Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.

scholarly journals Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents inRN

2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Zhiying Deng ◽  
Yisheng Huang
Keyword(s):  
Variational Methods ◽  
Elliptic Systems ◽  
Singular Potentials ◽  
Multiplicity Results ◽  
Critical Sobolev Exponents ◽  
Existence And Multiplicity ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

This paper deals with a class of quasilinear elliptic systems involving singular potentials and critical Sobolev exponents inRN. By using the symmetric criticality principle of Palais and variational methods, we prove several existence and multiplicity results ofG-symmetric solutions under certain appropriate hypotheses on the potentials and parameters.

scholarly journals Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
S. Heidari ◽  
A. Razani
Keyword(s):  
Variational Methods ◽  
Sobolev Spaces ◽  
Multiple Solutions ◽  
Elliptic Systems ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

AbstractIn this paper, we study some results on the existence and multiplicity of solutions for a class of nonlocal quasilinear elliptic systems. In fact, we prove the existence of precise intervals of positive parameters such that the problem admits multiple solutions. Our approach is based on variational methods.

Sign in / Sign up

Export Citation Format

Share Document