Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term

Details Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term

2005-11-07

arxiv.org/abs/math/0511164v1

Mathematics

Analysis of PDEs

Scientific paper

Let $p$ and $q$ be locally H\"{o}lder functions in $\RR^N$, $p>0$ and $q\geq 0$. We study the Emden-Fowler equation $-\Delta u+ q(x)|\nabla u|^a=p(x)u^{-\gamma}$ in $\RR^N$, where $a$ and $\gamma$ are positive numbers. Our main result establishes that the above equation has a unique positive solutions decaying to zero at infinity. Our proof is elementary and it combines the maximum principle for elliptic equations with a theorem of Crandall, Rabinowitz and Tartar.

Affiliated with

Also associated with

No associations

Rating

Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-336508