Nonselfadjoint elliptic problems;
principal eigenvalue;
indefinite weight;
minimax formula;
asymptotic behavior;
large drift;
1ST REAL EIGENVALUE;
ASYMPTOTIC-BEHAVIOR;
HIGHEST DERIVATIVES;
SMALL-PARAMETER;
OPERATORS;
D O I:
10.3934/dcds.2013.33.225
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
This paper is concerned with non-selfadjoint elliptic problems having a principal part in divergence form and involving an indefinite weight. We study the asymptotic behavior of the principal eigenvalues when the first order term (drift term) becomes larger and larger. Several of our results also apply to elliptic operators in general form.
机构:
Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, ChileUniv La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain
Alarcon, Salomon
Garcia-Melian, Jorge
论文数: 0引用数: 0
h-index: 0
机构:
Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain
Univ La Laguna, Fac Fis, Inst Univ Estudios Avanzados IUdEA Fis Atom Mol &, San Cristobal la Laguna 38203, SpainUniv La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain
Garcia-Melian, Jorge
Quaas, Alexander
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, ChileUniv La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain
机构:
Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R China
Wang, Lin
Lam, King-yeung
论文数: 0引用数: 0
h-index: 0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USAShaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R China
Lam, King-yeung
Zhang, Bo
论文数: 0引用数: 0
h-index: 0
机构:
Oklahoma State Univ, Dept Integrat Biol, Stillwater, OK 74078 USAShaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R China