TY - JOUR
T1 - On a nonlocal problem involving a nonstandard nonhomogeneous differential operator
AU - Avci, Mustafa
AU - Süer, Berat
N1 - Publisher Copyright:
© 2018, Orthogonal Publisher and Springer Nature Switzerland AG.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.
AB - In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.
KW - Ginzburg–Landau energy
KW - Mountain-Pass theorem
KW - Musielak–Orlicz–Sobolev spaces
KW - Nonlocal problems
KW - Variable exponent
KW - Variational approach
UR - http://www.scopus.com/inward/record.url?scp=85070861147&partnerID=8YFLogxK
U2 - 10.1007/s41808-018-0032-3
DO - 10.1007/s41808-018-0032-3
M3 - Journal Article
AN - SCOPUS:85070861147
SN - 2296-9020
VL - 5
SP - 47
EP - 67
JO - Journal of Elliptic and Parabolic Equations
JF - Journal of Elliptic and Parabolic Equations
IS - 1
ER -