scholarly journals Existence and multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces

2017 ◽  
Vol 10 (07) ◽  
pp. 3792-3814 ◽  
Author(s):  
Liben Wang ◽  
Xingyong Zhang ◽  
Hui Fang
Keyword(s):  
Sobolev Spaces ◽  
Elliptic Systems ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

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.

scholarly journals Multiplicity of Solutions to a Potential Operator Equation and Its Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Jincheng Huang
Keyword(s):  
Operator Equation ◽  
Elliptic Systems ◽  
Nehari Manifold ◽  
Laplacian Operator ◽  
Potential Operator ◽  
Multiplicity Of Solutions ◽  
Homogeneous Potential ◽  
Quasilinear Elliptic Systems ◽  
Nonnegative Solutions ◽  
Quasilinear Elliptic

We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions. Furthermore, we apply this result to prove the existence of two nonnegative solutions for three types of quasilinear elliptic systems involving (p, q)-Laplacian operator and concave-convex nonlinearities.

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.

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