| Abstract: |
| In this talk, we present several existence results for logarithmic double phase problems with nonlinear Neumann boundary conditions. By introducing a new and very general equivalent norm in the logarithmic Musielak-Orlicz Sobolev space, we discuss different types of nonlinearities on the boundary, including critical growth. This talk is based on joint works with Franziska Borer (Berlin), Yino B. Cueva Carranza (Presidente Prudente), Leszek Gasi\`{n}ski (Krakow), Marcos T.O. Pimenta (Presidente Prudente), Eylem \{O}zt\{u}rk (Ankara) and Matheus F. Stapenhorst (Presidente Prudente). |
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