A pointwise inequality for the fourth-order Lane–Emden equation
نویسندگان
چکیده
منابع مشابه
A Pointwise Inequality for the Fourth Order Lane-emden Equation
We prove that the following pointwise inequality holds −∆u ≥ √ 2 (p + 1)− cn |x| a 2 u p+1 2 + 2 n− 4 |∇u|2 u in R where cn := 8 n(n−4) , for positive bounded solutions of the fourth order Hénon equation that is ∆u = |x|u in R where a ≥ 0 and p > 1. Motivated by the Moser iteration argument in the regularity theory, we develop an iteration argument to prove the above pointwise inequality. As fa...
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2015
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2015.8.1541