| Abstract: |
| We study the Diriclet problem for nonlinear elliptic systems of convection-diffusion type with singular coefficients in the convective term. Our operators are monotone, with principal part of $p$-Laplacian type, satisfy appropriate ellipticity conditions and have ctirical growth. This may produce lack of coercivity and compactness. We extend to systems results already proven for the scalar case. To treat the vectorial case, we need an additional structural condition. We discuss some of these conditions, which are inspired by the well-known Landes` condition. Our results are contained in a joint work with Gabriella Zecca. |
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