Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Carathéodory spaces
Sign Up to like & getrecommendations! Published in 2020 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-020-00069-8
Abstract: We deal with existence and regularity for weak solutions to Dirichlet problems of the type $$\begin{aligned} \left\{ \begin{array}{ll} - \mathrm{div} (A(x)Xu) +b(x)Xu + c(x)u=f\quad \hbox {in} \; \varOmega \\ \\ u=0 \quad \quad \hbox {on}… read more here.
Keywords: solutions degenerate; degenerate elliptic; regularity solutions; existence regularity ... See more keywords
Unboundedness for solutions to a degenerate drift-diffusion equation with the L1-supercritical and the energy subcritical exponent
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.040
Abstract: Abstract We consider large time behavior of weak solutions to a degenerate drift-diffusion system related to Keller–Segel system with the L 1 -supercritical and the energy subcritical cases under relaxed weight condition. It is known… read more here.
Keywords: solutions degenerate; degenerate drift; supercritical energy; energy subcritical ... See more keywords