Two Types of Solutions to a Class of (p,q)-Laplacian Systems with Critical Sobolev Exponents in RN
We focus on the following elliptic system with critical Sobolev exponents: -div∇up-2∇u+m(x)up-2u=λup⁎-2u+(1/η)Gu(u,v), x∈RN; -div∇vq-2∇v+n(x)vq-2v=μvq⁎-2v+(1/η)Gv(u,v), x∈RN; u(x)>0,v(x)>0, x∈RN, where μ,λ>0,1<p≤q<N, either η∈(1,p) or η∈(q,p⁎), and critical Sobolev exponents p⁎=...
Saved in:
Main Authors: | Jing Li, Caisheng Chen |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2018-01-01
|
Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2018/6458395 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Existence of Solutions for the p(x)-Laplacian Problem with the Critical Sobolev-Hardy Exponent
by: Yu Mei, et al.
Published: (2012-01-01) -
Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN
by: Zhiying Deng, et al.
Published: (2014-01-01) -
On the Existence of Solutions for the Critical Fractional Laplacian Equation in ℝN
by: Zifei Shen, et al.
Published: (2014-01-01) -
On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent
by: Mohammed El Mokhtar ould El Mokhtar
Published: (2022-01-01) -
Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents
by: Yajing Zhang, et al.
Published: (2014-01-01)