### Nonlinear elliptic equations with absorption.

Marcus, M *(Technion - Israel Institute of Technology)*

Wednesday 11 June 2014, 14:00-15:00

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

We describe some recent results on boundary value problems for equations of the form $-Lu+f(x,u)=0$, in a domain $D$ in $R^N$. Here $L$ is the Laplacian or a more general second order elliptic equation and $f$ is positive in $D\times R_+$, monotone increasing with respect to the second variable.The boundary data is given by positive measures, possibly unbounded.

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