On a Robin (p,q)-equation with a logistic reaction

On a Robin (p,q)-equation with a logistic reaction

Blog Article

We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a (p)-Laplacian and of a laguna 3hp dust collector (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 socksmith santa cruz positive solution.