TY  - JOUR
ID  - Papageorgiou2019
LB  - Papageorgiou2019
AU  - Papageorgiou, Nikolaos S.
AU  - Vetro, Calogero
AU  - Vetro, Francesca
TI  - On a Robin (p,q)-equation with a logistic reaction
ST  - On a Robin (p,q)-equation with a logistic reaction
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 2
SP  - 227
EP  - 245
DO  - https://doi.org/10.7494/OpMath.2019.39.2.227
UR  - https://doi.org/10.7494/OpMath.2019.39.2.227
AB  - We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation) plus an indefinite potential term and a parametric reaction of logistic type (superdiffusive case). We prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter \(\lambda \gt 0\) varies. Also, we show that for every admissible parameter \(\lambda \gt 0\), the problem admits a smallest positive solution.
KW  - positive solutions
KW  - superdiffusive reaction
KW  - local minimizers
KW  - maximum principle
KW  - minimal positive solutions
KW  - Robin boundary condition
KW  - indefinite potential
SN  - 1232-9274
ER  -