Thursday, March 9, 2023 - 16:35 in H2
Stability of nonlinear nonlocal Dirichlet and Neumann problem driven by $p$-Lévy operators
A talk in the Nonlocal Equations: Analysis and Numerics 2023 series by
Guy Fabrice Foghem Gounoue from Dresden
| Abstract: |
We will study the well-posedness of nonlocal nonlinear Dirichlet and Neumann complement value problems on domains governed by symmetric nonlinear integrodifferential $p$-Lévy operators. A prototypical example of integrodifferential $p$-Lévy operators is the well-known fractional $p$-Laplace operator $(-\Delta)^s_p$. Asymptotically, we show that the local nonlinear Dirichlet and Neumann boundary value problems associated with $p$-Laplacian $-\Delta_p$ are strong limits of the nonlocal ones. We reach this conclusion by establishing important results such as robust Poincar\'e type inequalities and Gamma convergence of the nonlocal nonlinear energies forms involved to the local ones.
Within the CRC this talk is associated to the project(s): A7 |
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