TY: JOUR
T1 - Nonlinear Robin problems with locally defined reaction
A1 - Aizicovici, Sergiu
A1 - Papageorgiou, Nikolaos S.
A1 - Staicu, Vasile
N2 - We consider a nonlinear Robin problem driven by a p? Laplacian.
The reaction consistes of two terms. The first one is parametric and only locally
defined, while the second one is (p ? 1)- superlinear. Using cutt-off techniques
together with critical point theory and critical groups, we show that for big values
of the parameter ? > 0, the problem has at least three nontrivial solutions, all
with sign information (positive, negative and nodal). In the semilinear case (p =
2), we produce a second nodal solution, for a total of four nontrivial solutions,
all with sign information.
UR - https://ria.ua.pt/handle/10773/36948
Y1 - 2023
PB - Yokohama publishers