TY: JOUR
T1 - Multiple solutions with sign information for (p, 2)?equations with asymmetric resonant reaction
A1 - Aizicovici, Sergiu
A1 - Papageorgiou, Nikolaos S.
A1 - Staicu, Vasile
N2 - We consider a nonlinear nonhomogeneous Dirichlet problem driven
by the sum of a p?Laplacian and a Laplacian (a (p, 2)? equation). The reaction
is the sum of two competing terms, a parametric (p ? 1)?sublinear term and
an asymmetric (p ? 1)?linear perturbation which is resonant at ??. Using
variational methods together with truncations and comparison techniques and
Morse theory (critical groups), we prove two multiplicity theorems which provide
sign information for all the solutions.
UR - https://ria.ua.pt/handle/10773/35314
Y1 - 2020
PB - Yokohama Publishers