Generalized Harnack inequality for semilinear elliptic equations

详细信息    查看全文

• 作者：Vesa Julin ^{vesa.julin@jyu.fi" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35B65 ; 35G20 ; 35D30
• 刊名：Journal de mathematiques pures et appliquees
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：106
• 期：5
• 页码：877-904
• 全文大小：491 K

文摘

This paper is concerned with semilinear equations in divergence form where 35d67984df3227848b" title="Click to view the MathML source">f:R→[0,∞)$f:\mathbb{R}\to [0,\infty )$ is nondecreasing. We introduce a sharp Harnack type inequality for nonnegative solutions which is a quantified version of the condition for strong maximum principle found by Vazquez and Pucci–Serrin in  and  and is closely related to the classical Keller–Osserman condition  and  for the existence of entire solutions.