Abstract
We consider a nonlinear Robin problem driven by the sum of p-Laplacian and q-Laplacian (i.e. the (p,q)-equation). In the reaction there are competing effects of a singular term and a parametric perturbation λf(z,x), which is Carathéodory and (p−1)-superlinear at x∈R, without satisfying the Ambrosetti–Rabinowitz condition. Using variational tools, together with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter λ>0 varies.
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