Article ID Journal Published Year Pages File Type
841684 Nonlinear Analysis: Theory, Methods & Applications 2011 10 Pages PDF
Abstract

In this note, we give sufficient conditions for the existence of a positive solution branch for the problem −Δu=λa(x)f(u)in RN,u(x)→0as |x|→∞, with sign changing weight aa, where N≥3N≥3 and ff is a smooth nonlinearity with f(0)≠0f(0)≠0.

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Physical Sciences and Engineering Engineering Engineering (General)
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A positive solution branch for nonlinear eigenvalue problems in RNRN
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