Existence results for a class of (p,q) Laplacian systems
Keyword(s):
We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems:−∆pu = λ a(x) u |u|γ−2 + α (α + β)–1 b(x) u |u|α−2 |v|β + f in Ω,−∆qv = µ d(x) v |v|γ−2 + β (α + β)–1 b(x) |u|α v |v|β−2 + g in Ω,(u,v) ∈ W01,p(Ω) × W01,q(Ω).Our result depending on the local minimization.
Keyword(s):
2014 ◽
Vol 25
(09)
◽
pp. 1450091
◽
2003 ◽
Vol 282
(2)
◽
pp. 531-552
◽
Keyword(s):
1996 ◽
Vol 80
(6)
◽
pp. 2208-2225
◽
2018 ◽
Vol 7
(4)
◽
pp. 425-447
◽