Global bifurcation of positive solutions from zero in nonlinearizable elliptic problems with indefinite weight

被引：5

作者：

Aliyev, Ziyatkhan S. ^{[1
,2
]}

Hasanova, Shanay M. ^{[2
]}

机构：

[1] Baku State Univ, AZ-1148 Baku, Azerbaijan

[2] NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 491卷 / 01期

关键词：

Second order elliptic partial; Global bifurcation differential equations; Indefinite weight; Principal eigenvalues; Unbounded continua; ORDINARY DIFFERENTIAL-EQUATIONS; STURM-LIOUVILLE PROBLEMS; EIGENVALUE PROBLEMS; PRINCIPAL EIGENVALUES; EXISTENCE; BOUNDARY; 4TH-ORDER; INFINITY;

D O I：

10.1016/j.jmaa.2020.124252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of global bifurcation of solutions from zero of some nonlinearizable eigenvalue problems for second order elliptic partial differential equations with indefinite weight. The existence of global continua of solutions emanating from bifurcation intervals surrounding the trivial solutions corresponding to the principal eigenvalues of the linear problem obtained by setting the nonlinear term equal to zero and contained in the classes of positive and negative functions is shown. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：12

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