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

Electronic Journal of Qualitative Theory of Differential Equations

Yavdat Ilyasov¹ 

[1] Institute of Mathematics, Ufa Scientific Center, RAS, Ufa, Russia;

关键词: concave–convex nonlinearity;    collatz–wielandt formula;    $p$-laplacian;    bifurcation;    blow up;   

DOI  :  10.14232/ejqtde.2017.1.96

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown