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- W2052912982 abstract "In this paper we study the existence of spectrum for one-dimensional p-Laplace eigenvalue problems with singular weights subject to Dirichlet boundary condition. For certain class of singular sign-changing weights, we prove the existence of discrete spectrum. Proofs are based on the C1[0,1]-regularity of solutions and construction of the first eigenvalue in a variational set-up. We also present an example of a weight for which the spectrum is continuous and any corresponding eigenfunction does not belong to C1[0,1]." @default.
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- W2052912982 date "2010-04-01" @default.
- W2052912982 modified "2023-09-30" @default.
- W2052912982 title "On a criterion for discrete or continuous spectrum of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>p</mml:mi></mml:math>-Laplace eigenvalue problems with singular sign-changing weights" @default.
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- W2052912982 doi "https://doi.org/10.1016/j.na.2009.12.034" @default.
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