A bifurcation problem governed by the boundary condition II期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

A bifurcation problem governed by the boundary condition II

Authors:	Garcia-Melian Jorge; Rossi Julio D; Sabina De Lis Jose C

Institution:	¹ Departamento de Análisis Matemático Universidad de La Laguna C/ Astrofísico Francisco Sánchez s/n 38271 La Laguna Spain jjgarmel{at}ull.es josabina{at}ull.es ² Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires 1428 Buenos Aires Argentina ³ Instituto de Matemáticas y Física Fundamental CSIC C/ Serrano 123 28006 Madrid Spain jrossi{at}dm.uba.ar

Abstract:	In this work we consider the problem ${Delta}$ u = a(x)u^p in on ${partial}$ ${Omega}$ , where ${Omega}$ is a smooth bounded domain, ${nu}$ isthe outward unit normal to ${partial}$ ${Omega}$ , ${lambda}$ is regarded as a parameter and0 < p < 1. We consider both cases where a(x) > 0 in ${Omega}$ or a(x) is allowed to vanish in a whole subdomain ${Omega}$ ₀ of ${Omega}$ . Ourmain results include existence of non-negative non-trivial solutionsin the range 0 < ${lambda}$ < ${sigma}$ ₁, where ${sigma}$ ₁ is characterized by meansof an eigenvalue problem, uniqueness and bifurcation from infinityof such solutions for small ${lambda}$ , and the appearance of dead coresfor large enough ${lambda}$ .

Keywords:
本文献已被 Oxford 等数据库收录！