Abstract
We derive estimates for solutions to the equations like $$-{\operatorname{div}}(|\nabla u|^{p-2}\nabla u)=f\,,$$ where $f$ belongs to weak $L^q$ spaces. As applications of our results we show that the entropy solutions of $$-{\operatorname{div}}(|\nabla u|^{p-2}\nabla u)=|u|^{a-1}u$$ are regular provided that $0\le a < n(p-1)/(n-p)$.
Citation
Tero Kilpeläinen. Gongbao Li. "Estimates for $p$-Poisson equations." Differential Integral Equations 13 (4-6) 791 - 800, 2000. https://doi.org/10.57262/die/1356061250
Information
