TY: JOUR
T1 - Positive solutions for nonlinear periodic problems with concave terms
A1 - Aizicovici, Sergiu
A1 - Papageorgiou, Nikolaos S.
A1 - Staicu, Vasile
N2 - We consider a nonlinear periodic problem, driven by the scalar p-Laplacian, with a parametric
concave term and a Carathéodory perturbation whose potential (primitive) exhibits
a p-superlinear growth near +?, without satisfying the usual in such cases Ambrosetti?
Rabinowitz condition. Using critical point theory and truncation techniques, we prove a
bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive
solutions as the parameter varies.
UR - https://ria.ua.pt/handle/10773/7652
Y1 - 2011
PB - Elsevier