Abstract
We consider a parametric nonlinear Robin problem driven by the p-Laplacian and with a reaction having the competing effects of two terms. One is a parametric -sublinear term (concave nonlinearity) and the other is a -superlinear term (convex nonlinearity). We assume that the weight of the concave term is indefinite (that is, sign-changing). Using the Nehari method, we show that for all small values of the parameter , the problem has at least two positive solutions and also we provide information about their regularity.
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