Rakotoson, J. M. Generalized solutions in a new type of sets for problems with measures as data. (English) Zbl 0780.35047 Differ. Integral Equ. 6, No. 1, 27-36 (1993). Soit \(\Omega\) un ouvert de \(\mathbb R^ n\) et \(u\) solution de \(-\text{div}(| \nabla u|^{p-2} \nabla u)=\delta_{x_ 0}\), \(1<p<n\) la définition d’ensembles adaptés et l’utilisation de problèmes approchés permet à l’auteur d’obtenir une solution dans \(W_ 0^{1,q}(\Omega)\), \(q>\sup(1,p-1)\). Reviewer: M.Merigot (Nice) Cited in 2 ReviewsCited in 18 Documents MSC: 35J60 Nonlinear elliptic equations 35R05 PDEs with low regular coefficients and/or low regular data 35D99 Generalized solutions to partial differential equations Keywords:Radon measure; approximate problem PDFBibTeX XMLCite \textit{J. M. Rakotoson}, Differ. Integral Equ. 6, No. 1, 27--36 (1993; Zbl 0780.35047)