Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

David Arcoya, Colette De Coster, Louis Jeanjean, Kazunaga Tanaka

研究成果: Article査読

21 被引用数 (Scopus)

抄録

In this note we present some uniqueness and comparison results for a class of problem of the form. (0.1)-Lu=H(x,u,∇;u)+h(x),u∈H01(Ω)∩L∞(Ω), where Ω⊂RN, N≥. 2 is a bounded domain, L is a general elliptic second order linear operator with bounded coefficients and H is allowed to have a critical growth in the gradient. In some cases our assumptions prove to be sharp.

本文言語English
ページ(範囲)772-780
ページ数9
ジャーナルJournal of Mathematical Analysis and Applications
420
1
DOI
出版ステータスPublished - 2014 12 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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