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- W1681321420 abstract "We establish that the elliptic equation $Delta u+f(x,u)+g(| x|)xcdot nabla u=0$, where $xinmathbb{R}^{n}$, $ngeq3$, and $| x|>R>0$, has a positive solution which decays to 0 as $| x|to +infty$ under mild restrictions on the functions $f,g$. The main theorem extends and complements the conclusions of the recent paper [M. Ehrnstrom, O.G. Mustafa, On positive solutions of a class of nonlinear elliptic equations, Nonlinear Anal. TMA 67 (2007), 1147--1154]. Its proof relies on a general result about the long-time behavior of the logarithmic derivatives of solutions for a class of nonlinear ordinary differential equations and on the comparison method." @default.
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- W1681321420 date "2009-04-09" @default.
- W1681321420 modified "2023-09-27" @default.
- W1681321420 title "On the positive solutions to some quasilinear elliptic partial differential equations" @default.
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