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Bifurcation problems for superlinear elliptic indefinite equations with exponential growth

Authors:

Affiliation:

(1) TIFR Centre, Indian Institute of Science, Bangalore, 560 012, India;(2) Manufacture des Tabacs, Ceremath MIP-UT1 Batiment C, 21 Allée de Brienne, 31000 Toulouse, France

Abstract:

This paper deals with the existence and the behaviour of global connected branches of positive solutions of the problem

$(P)left{ {begin{array}{*{20}l} {{ - Delta u = lambda u + h(x)phi (u)e^{u} {text{ in }}mathbb{R}^{2} }} {{u geq 0,,u to 0,{text{ when }}||x||, to + infty }} end{array} } right.$

We consider a function h which is smooth and changes sign.

Keywords:

KeywordHeading" >Mathematics Subject Classification (2000). 35J60

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