Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities

被引：16

作者：

Grossi, Massimo ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 254卷 / 12期

关键词：

supercritical problems; Green's function; radial solutions;

D O I：

10.1016/j.jfa.2008.03.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let us consider the problem {-Delta u + a(vertical bar x vertical bar)u = u(p) in B-1, u > 0 in B-1, (0.1) u = 0 on partial derivative B-1, where B-1 is the unit ball in R-N, N >= 3, and a(vertical bar x vertical bar) >= 0 is a smooth radial function. Under some suitable assumptions on the regular part of the Green function of the operator -u '' - N-1/ru + a(r)u, we prove the existence of a radial solution to (0.1) for p large enough. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2995 / 3036

页数：42

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