| Abstract: |
| In this talk, we deal with elliptic problems set on a general open domain Omega, driven by a (p,q)-fractional operator, involving a critical Sobolev nonlinearity and a nonlinear perturbation of sandwich type. More precisely, the subcritical term is intrinsically linked to the double (p,q)-growth of the main operator. Under different settings of involved parameters, we prove existence and multiplicity results for our problems. For this, we combine topological tools and variational methods. Our results, contained in https://arxiv.org/abs/2409.13986, generalize in several directions the theorems proved in https://doi.org/10.1007/s00526-020-01867-6 and in https://doi.org/10.1016/j.aml.2020.106646 |
|