TY - JOUR
T1 - A MULTIPLICITY RESULT FOR CRITICAL ELLIPTIC PROBLEMS INVOLVING DIFFERENCES OF LOCAL AND NONLOCAL OPERATORS
AU - Perera, Kanishka
AU - Sportelli, Caterina
N1 - Publisher Copyright:
© 2024 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toruń.
PY - 2024/6
Y1 - 2024/6
N2 - We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in [22].
AB - We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in [22].
KW - Critical elliptic problems
KW - differences of local and nonlocal operators
KW - multiplicity of solutions
UR - http://www.scopus.com/inward/record.url?scp=85204688449&partnerID=8YFLogxK
U2 - 10.12775/TMNA.2023.037
DO - 10.12775/TMNA.2023.037
M3 - Article
AN - SCOPUS:85204688449
SN - 1230-3429
VL - 63
SP - 717
EP - 731
JO - Topological Methods in Nonlinear Analysis
JF - Topological Methods in Nonlinear Analysis
IS - 2
ER -