We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood of zero). Using suitable cut-off techniques together with variational tools and comparison principles, we show that for all big values of the parameter, the problem has at least three nontrivial smooth solutions, all with sign information (positive, negative and nodal).
|Numero di pagine||17|
|Rivista||Mathematical Modelling and Analysis|
|Stato di pubblicazione||Published - 2020|
All Science Journal Classification (ASJC) codes
- Modelling and Simulation