| Abstract: |
| We investigate the existence and multiplicity of positive bounded solutions for a class of nonlocal, non-variational elliptic problems driven by a non-homogeneous operator with unbalanced growth, namely the double phase operator.
The problem is characterized by the presence of a sign-changing weight function on the left-hand side.
Our approach combines several techniques, including the sub- and super-solutions method, variational and truncation techniques, as well as tools from set-valued analysis. Furthermore, we analyze an associated one-dimensional fixed-point problem that allows us to prove the existence of $K>0$ pairs of positive solutions. |
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