Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term
Dinu, Teodora Liliana
arXiv, 0511164 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-11-07
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35A05, 35B50, 35J60, 58J05 
@article{0511164,
     author = {Dinu, Teodora Liliana},
     title = {Entire positive solutions of the singular Emden-Fowler equation with
  nonlinear gradient term},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511164}
}

Dinu, Teodora Liliana. Entire positive solutions of the singular Emden-Fowler equation with
  nonlinear gradient term. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511164/