Uniqueness result for quasilinear and nonlinear elliptic equations
Prof. Olivier Guibé,
Laboratory of Mathematics Raphael Salem
| Speaker |
Prof. Olivier Guibé,
Laboratory of Mathematics Raphael Salem
|
|---|---|
| When |
Feb 11, 2020
from 01:30 PM to 02:30 PM |
| Where | LH 006 |
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Abstract: In this talk we first recall the usual technique for proving the uniqueness of the variational solution of -div(A(x,u)Du)=f with Dirichlet boundary condition when A(x,s) is global Lipschitz continuous with respect to second variable. After introducing the notion of renormalized solution which allows to consider elliptic problems with L1 data, we will give uniqueness result under fairly condition on the matrix A. Moreover these results are also new in the variational case. Generalisation for nonlinear problems will be addressed.