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Ground states for a class of quasilinear elliptic systems with critical exponent.
- Source :
-
Nonlinear Analysis . Apr2019, Vol. 181, p222-248. 27p. - Publication Year :
- 2019
-
Abstract
- Abstract We study the following coupled system of quasilinear equations: − Δ p u + μ | u | p − 2 u = | u | q − 2 u + α λ | u | α − 2 u | v | β , x ∈ R N , − Δ p v + ν | v | p − 2 v = | v | p ∗ − 2 v + β λ | u | α | v | β − 2 v , x ∈ R N , where N ≥ 3 , μ , ν , λ > 0 , α , β ≥ 1 , 2 < p < q < p ∗ and α + β = p. We establish some results about the existence and regularity of ground state solutions for the p-Laplacian systems by using variational methods. We also study the asymptotic behavior of solutions as the coupling parameter λ tends to zero. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 181
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 134797044
- Full Text :
- https://doi.org/10.1016/j.na.2018.11.015