Abstract
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.
Publisher
Sociedade Paranaense de Matemática
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