On a p-Laplace Neumann problem with asymptotically asymmetric perturbations

被引：10
|
作者：
Alif, M
Omari, P
机构：
[1] Univ Trieste, Dipartimento Sci Matemat, I-34127 Trieste, Italy
[2] Int Ctr Theoret Phys, I-34014 Trieste, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 03期
关键词：
quasilinear elliptic equations; p-Laplacian; Neumann boundary conditions; Dancer-Fucik spectrum; upper and lower solutions;
D O I：
10.1016/S0362-546X(01)00835-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The solvability of a p-Laplace Neumann problem with asymptotically asymmetric perturbations was studied. The upper and lower bounds of the problem were defined and it was proved that the problem had at least one solution. The results showed that the interaction of the function f with the principal eigenvalue λ1 was controlled by means of a pair of upper and lower solutions, and its interaction with the first nontrivial branch was controlled by an asymptotic condition involving a primitive of f.
引用
收藏
页码：369 / 389
页数：21
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