N ov 2 00 5 Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term

  • Teodora - Liliana Dinu
  • Published 2005

Abstract

Let p and q be locally Hölder functions in R N , p > 0 and q ≥ 0. We study the Emden-Fowler equation −∆u + q(x)|∇u| a = p(x)u −γ in R N , where a and γ 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… (More)

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