TY - JOUR
T1 - On a Hamiltonian System with Critical Exponential Growth
AU - Santaria Leuyacc, Yony Raul
AU - Soares, Sergio H.Monari
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019
Y1 - 2019
N2 - We are interested in finding nontrivial solutions for a Hamiltonian elliptic system in dimension two involving a potential function which can be coercive and nonlinearities that have maximal growth with respect to the Trudinger–Moser inequality. To establish the existence of solutions, we use variational methods combined with Trudinger–Moser type inequalities in Lorentz–Sobolev spaces and a finite-dimensional approximation.
AB - We are interested in finding nontrivial solutions for a Hamiltonian elliptic system in dimension two involving a potential function which can be coercive and nonlinearities that have maximal growth with respect to the Trudinger–Moser inequality. To establish the existence of solutions, we use variational methods combined with Trudinger–Moser type inequalities in Lorentz–Sobolev spaces and a finite-dimensional approximation.
KW - exponential growth
KW - Hamiltonian elliptic systems
KW - Lorentz–Sobolev spaces
UR - http://www.scopus.com/inward/record.url?scp=85064226572&partnerID=8YFLogxK
U2 - 10.1007/s00032-019-00294-3
DO - 10.1007/s00032-019-00294-3
M3 - Artículo
AN - SCOPUS:85064226572
SN - 1424-9286
JO - Milan Journal of Mathematics
JF - Milan Journal of Mathematics
ER -