Regularizing effect of absorbtion term in singular and degenerate elliptic problems
Resumo
Dans cet article, nous étudions l’existence et la régularité des solutions au problème singulier suivant\
\\begin{equation}
\left\{
\begin{array}{lll}
&-\displaystyle\mbox{div} \big(a(x,u)\vert\nabla u\vert^{p-2}\nabla u\big) + \vert u\vert^{s-1}u =h(u)f &\mbox{ in } \Omega \\
&u\geq 0 &\mbox{ in }\Omega \\
&u=0 &\mbox{ on } \delta\Omega\\
\end{array}
\right.\end{equation}
prouvant que le terme d’ordre inférieur $u\vert u\vert^{s-1}$ a des effets régularisants sur les solutions dans le cas d’un opérateur elliptique à coercivité dégénérée.
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