TY - JOUR
T1 - Critical points approaches to a nonlocal elliptic problem driven by p(x)-biharmonic operator
AU - Heidarkhani, Shapour
AU - Moradi, Shahin
AU - Avci, Mustafa
N1 - Publisher Copyright:
© 2021 Walter de Gruyter GmbH, Berlin/Boston 2022.
PY - 2022/2/1
Y1 - 2022/2/1
N2 - Differential equations with variable exponent arise from the nonlinear elasticity theory and the theory of electrorheological fluids. We study the existence of at least three weak solutions for the nonlocal elliptic problems driven by p (x) p(x) -biharmonic operator. Our technical approach is based on variational methods. Some applications illustrate the obtained results. We also provide an example in order to illustrate our main abstract results. We extend and improve some recent results.
AB - Differential equations with variable exponent arise from the nonlinear elasticity theory and the theory of electrorheological fluids. We study the existence of at least three weak solutions for the nonlocal elliptic problems driven by p (x) p(x) -biharmonic operator. Our technical approach is based on variational methods. Some applications illustrate the obtained results. We also provide an example in order to illustrate our main abstract results. We extend and improve some recent results.
KW - nonlocal elliptic system
KW - three weak solutions
KW - variational methods
UR - http://www.scopus.com/inward/record.url?scp=85119419792&partnerID=8YFLogxK
U2 - 10.1515/gmj-2021-2115
DO - 10.1515/gmj-2021-2115
M3 - Journal Article
AN - SCOPUS:85119419792
SN - 1072-947X
VL - 29
SP - 55
EP - 69
JO - Georgian Mathematical Journal
JF - Georgian Mathematical Journal
IS - 1
ER -