Picone identities for half-linear elliptic operators with p(x)-Laplacians and applications to Sturmian comparison theory

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Picone identities are established for a class of half-linear elliptic operators with p(x)-Laplacians, and Sturmian comparison theorems are obtained on the basis of the Picone identities. Generalizations to half-linear elliptic inequalities with mixed nonlinearities are discussed, and specializations to half-linear partial or ordinary differential inequalities with p(x)-Laplacians are shown. Key words: p(x)-Laplacian, Picone identity, Picone-type inequality, half-linear, elliptic, Sturmian comparison theory 2000 MSC: 35B05, 35J92

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Nonlinear Analysis: Theory, Methods & Applications, 74(16), Pages 5631-5642

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