Picone-type identity for pseudo $p$-Laplacian with variable power

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Authors

DOŠLÝ Ondřej BOGNÁR Gabriella

Year of publication 2012
Type Article in Periodical
Magazine / Source Electronic Journal of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Picone's identity; half-linear PDE; pseudo p(x)-Laplacian; Riccati type equation; Leigthon type comparison criterion.}
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Description A Picone type identity is established for homogeneous differential operators involving the pseudo $p$-Laplacian with variable exponent $p=p(x)$. Using this identity, it is shown that the classical Sturmian theory extends to the associated partial differential equations
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