| Abstract: |
| In this talk we will study problems involving the logarithmic double phase operator and a nonlinear term with natural growth. A solution to our problem is obtained as the limit of solutions to approximated problems, whose solutions exist by the Leray-Lions Theorem. The full result is obtained by carefully estimating certain terms associated to the pseudomonotonicity of the operator. This talk is based on a joint work with Marcos Tadeu de Oliveira Pimenta (Presidente Prudente, Brazil) and Patrick Winkert (Berlin, Germany). |
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