Elsevier

Applied Mathematics Letters

Volume 48, October 2015, Pages 143-149
Applied Mathematics Letters

Non-real eigenvalues of one dimensional p-Laplacian with indefinite weight

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Abstract

The present paper gives a priori bounds on the possible non-real eigenvalues to indefinite eigenvalue problems for one-dimensional p-Laplacian under the integrability conditions. The sufficient conditions for the non-existence of non-real eigenvalues to such problems are obtained.

Keywords

Nonlinear eigenvalue problem
p-Laplacian
Indefinite weight
A priori bound
Non-real eigenvalue

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