TY: JOUR
T1 - On (p, q) ? equations with concave terms
A1 - Papageorgiou, Nikolaos S.
A1 - Santos, Sandrina R. A.
A1 - Staicu, Vasile
N2 - We consider a (p, q)? equation (1 < q < p, p ? 2) with a parametric concave
term and a (p ? 1)? linear perturbation. We show that the problem have five nontrivial
smooth solutions: four of constant sign and the fifth nodal. When q = 2 (i.e., (p, 2)
equation) we show that the problem has six nontrivial smooth solutions, but we do not
specify the sign of the sixth solution. Our approach uses variational methods, together with truncation and comparison techniques and Morse theory.
UR - https://ria.ua.pt/handle/10773/16196
Y1 - 2016
PB - Gakkotosho