Existence and asymptotic behavior of singular solutions of quasilinear elliptic equations in Rn

Jann Long Chern*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

In this paper we consider the quasilinear elliptic equation (1) div(|∇u|m-2∇u) + f(u) = 0 where n > m > 1. We obtain a necessary and sufficient condition for the existence of positive radial solutions u = u(r) on [r0, ∞), where r0 > 0. If f satisfies a further condition, then Eq. (1) possesses infinitely many singular ground state solutions u(r) satisfying u(r) ∼ r-(n-m)/m-1 at ∞ and u(r) → ∞ as r → 0+. We also obtain some important conclusions via our main results.

原文英語
頁(從 - 到)195-207
頁數13
期刊Taiwanese Journal of Mathematics
1
發行號2
DOIs
出版狀態已發佈 - 1997 6月
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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