Bifurcation and blow-up results for equations with p-Laplacian and convex-concave nonlinearity

被引：0

作者：

Ilyasov, Yavdat Shavkatovich ^{[1
]}

机构：

[1] Russian Acad Sci, Ufa Sci Ctr, Inst Math, 112 Chernyshevsky Str, Ufa 450008, Russia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 96期

关键词：

concave-convex nonlinearity; Collatz-Wielandt formula; p-Laplacian; bifurcation; blow up; 2ND-ORDER ELLIPTIC-OPERATORS; PRINCIPAL EIGENVALUE; POSITIVE SOLUTIONS; MAXIMUM PRINCIPLE; REGULARITY; EXISTENCE;

D O I：

10.14232/ejqtde.2017.1.96

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of global, blow-up and bifurcation solutions for parametrized families of elliptic and parabolic equations with p-Laplacian and concave-convex nonlinearity. The main results are obtained by means of a generalised Collatz-Wielandt formula.

引用

页码：1 / 13

页数：13

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