Marie-Françoise Bidaut-Véron

Nonexistence results and estimates for some nonlinear elliptic problems

AbstractHere we study the local or global behaviour of the solutions of elliptic inequalities involving quasilinear operators of the type

Removable Singularities and Existence for a Quasilinear Equation with Absorption or Source Term and Measure Data

L_{\mathcal{A}^u } = - div\left[ {\mathcal{A}\left( {x,u,\nabla u} \right)} \right] \geqslant \left| x \right|^\sigma u^Q

Self-similar solutions of the p -Laplace heat equation: the case when p > 2

or

Estimations a priori pour les singularités isolées d'un système elliptique hamiltonien

\begin{gathered} L_{\mathcal{A}^u } = - div\left[ {\mathcal{A}\left( {x,u,\nabla u} \right)} \right] \geqslant \left| x \right|^\sigma u^S v^R \hfill \\ L_{\mathcal{B}^u } = - div\left[ {\mathcal{B}\left( {x,u,\nabla u} \right)} \right] \geqslant \left| x \right|^b u^Q u^T \hfill \\ \end{gathered}

Initial trace of solutions of Hamilton-Jacobi parabolic equation with absorption

. We give integral estimates and nonexistence results. They depend on properties of the supersolutions of the equationsLAu=0,LBv=0, which suppose weak coercivity conditions. Under stronger conditions, we give pointwise estimates in case of equalities, using Harnack properties.

Pointwise estimates and existence of solutions of porous medium and p-Laplace evolution equations with absorption and measure data

We establish a precise connection between two elliptic quasilinear problems with Dirichlet data in a bounded domain of