Ground State Solutions of Nehari–Pankov Type for a Superlinear Hamiltonian Elliptic System on ℝN
2015 ◽
Vol 58
(3)
◽
pp. 651-663
◽
Keyword(s):
AbstractThis paper is concerned with the following elliptic system of Hamiltonian typewhere the potential V is periodic and 0 lies in a gap of the spectrum of −Δ + V, W(x, u, v) is periodic in x and superlinear in u and v at infinity. We develop a direct approach to ûnding ground state solutions of Nehari–Pankov type for the above system. Our method is especially applicable to the case whenwhere with , and and hj(x, t) are nondecreasing in t ∊ ℝ+ for every x ∊ ℝN and gi(x, 0) = hj(x, 0) = 0.
2019 ◽
Vol 150
(4)
◽
pp. 1737-1768
◽
2019 ◽
Vol 18
(5)
◽
pp. 2433-2455
◽
Keyword(s):
2017 ◽
Vol 37
(8)
◽
pp. 4565-4583
◽
Keyword(s):
2016 ◽
Vol 40
(3)
◽
pp. 729-740
◽
Keyword(s):