TY - JOUR
T1 - Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity
AU - Soares, Sérgio H.Monari
AU - Leuyacc, Yony R.Santaria
N1 - Publisher Copyright:
© 2018 World Scientific Publishing Company.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system {-Δu + V (x)u = g(v), x ∈ R2, - Δv + V (x)v = f(u), x ∈ R2, where V is a positive function which can vanish at infinity and be unbounded from above and f and g have exponential growth range. The proof involves a truncation argument combined with the linking theorem and a finite-dimensional approximation.
AB - We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system {-Δu + V (x)u = g(v), x ∈ R2, - Δv + V (x)v = f(u), x ∈ R2, where V is a positive function which can vanish at infinity and be unbounded from above and f and g have exponential growth range. The proof involves a truncation argument combined with the linking theorem and a finite-dimensional approximation.
KW - Hamiltonian elliptic systems in dimension two
KW - exponential growth
KW - vanishing potentials
UR - http://www.scopus.com/inward/record.url?scp=85058006260&partnerID=8YFLogxK
U2 - 10.1142/S0219199717500535
DO - 10.1142/S0219199717500535
M3 - Artículo
AN - SCOPUS:85058006260
VL - 20
JO - Communications in Contemporary Mathematics
JF - Communications in Contemporary Mathematics
SN - 0219-1997
IS - 8
M1 - 1750053
ER -