题目：On Bernstein technique and Keller-0sserman estimate for some elliptic equations involving a gradient term

报告人：Marie-Françoise BIDAUT-VERON，图尔大学

时间：10月13日10:20-11:00

地点：新楼312

摘要：

Here we consider some elliptic equations involving nonlinear terms of order 0 or 1, of the form

-Δu + F (u,|Δu|)=0, X∈RN \｛0｝

We are concerned by the obtention of upperestimates of the solutions in a punctured ball Bro\｛0｝or in an exterior domain RN\\bar{B_{\gamma o}} , and existence of global solutions in RN \｛0｝. We talk on the use of combined Bernstein technique and Osserman-Keller estimate of the gradient in some noncoercive cases: F (u,|Δu|) = ±|Δu|q+ f (u),where f is a positive power or an exponential, or F (u,|Δu|)= up |Δu|q, and recall the open problems. We are also concerned by some extension to quasilinear operators.