Principal eigenvalues and anti-maximum principle for some quasilinear elliptic equations on RN

被引：0

作者：

Stavrakakis, NM

de Thélin, F

机构：

[1] Natl Tech Univ Athens, Dept Math, GR-15780 Athens, Greece

[2] Univ Toulouse 3, UMR MIP, F-31062 Toulouse, France

来源：

MATHEMATISCHE NACHRICHTEN | 2000年 / 212卷

关键词：

p-Laplacian equation; nonlinear eigenvalues problems; indefinite weight; homogeneous Sobolev spaces; unbounded domain; perturbation; antimaximum principle; non-Newtonian fluids;

D O I：

10.1002/(SICI)1522-2616(200004)212:1<155::AID-MANA155>3.3.CO;2-W

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve some previous existence and nonexistence results for positive principal eigenvalues of the problem -Delta(p)u = lambda g(x)psi(p)(u), x is an element of R-N, lim(\x\-->+infinity) u(x) = 0. Also we discuss existence, nonexistence and antimaximum principle questions concerning the perturbed problem -Delta(p)u = lambda g(x)psi(p)(u) + f(x), x is an element of R-N.

引用

页码：155 / 171

页数：17

共 20 条

[1] PRINCIPAL EIGENVALUES FOR INDEFINITE-WEIGHT ELLIPTIC PROBLEMS IN R(N) [J].