A singular semilinear problem with dependence on the gradient

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• 作者：Francesca Faraci ; ^{ffaraci@dmi.unict.it" class="auth_mail" title="E-mail the corresponding author} ; Daniele Puglisi ^{dpuglisi@dmi.unict.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J91 ; 35J20 ; 35D30 ; 35D35
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：260
• 期：4
• 页码：3327-3349
• 全文大小：332 K

文摘

In the present paper we study the problem of finding classical and weak solutions for a semilinear elliptic equation involving a singular term and a nonlinearity depending on the gradient. The approach we follow, based on a suitable combination of sub–supersolutions techniques and fixed point theory, is not quite the same in the two cases and requires different kind of assumptions.