| Abstract: |
| In this talk, we discuss about recent results for double phase problems involving different critical nonlinearities. Our problems present some difficulties due to the presence of singularities and the lack of compactness of the critical embeddings for the related Musielak-Orlicz Sobolev space. After introducing the different variational approaches which allows us to provide the existence and multiplicity of solutions, we conclude the talk presenting some open questions. |
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