Abstract
AbstractWe consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian with $$1<q<p$$
1
<
q
<
p
. The reaction is parametric and exhibits the competing effects of a singular term and of concave and convex nonlinearities. We are looking for positive solutions and prove a bifurcation-type theorem describing in a precise way the set of positive solutions as the parameter varies. Moreover, we show the existence of a minimal positive solution and we study it as a function of the parameter.
Funder
Technische Universität Berlin
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
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