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Quasilinear elliptic equations with measures and multi-valued lower order terms

Quasilinear elliptic equations with measures and multi-valued lower order terms

In this paper, we consider the existence and further qualitative properties of solutions of the Dirichlet problem to quasilinear multi-valued elliptic equations with measures of the form$Au + G(\cdot,u) \ni f,$where $A$ is a second order elliptic operator of Leray-Lions type and $f\in \mathcal M_b(\Omega)$ is a given Radon measure …