Publication Cover
Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 3
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Original Articles

On the Existence of Positive Eigenvalues for Linear and Nonlinear Equations with Indefinite Weight

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Pages 615-625 | Published online: 09 Sep 2010
 

We prove the existence of positive eigenvalues for two types of equations having an indefinite weight. We consider the linear case, and we show the existence of a positive principal eigenvalue corresponding to a positive eigenfunction. For the nonlinear case, we show that the set of positive eigenvalues is an unbounded interval, and that the corresponding eigenfunctions are positive.

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