Oscillation criteria for half-linear partial differential equations via Picone's identity [PDF]
Yoshida, Norio
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Picone identities for ordinary differential equations of fourth order
application/pdf It is known that there are two kinds of Picone identities for fourth order ordinary differential equations. A new type of Picone identity is established, and Sturmian comparison theorems are derived.
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On a consequence of Picone’s identity for a fractional p-Laplacian
H. P. Bueno +2 more
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A remark on conjugacy of half-linear second order differential equations [PDF]
Došlý, Ondřej
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Nonlinear anisotropic Picone type identities for general vector fields and applications
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Picone’s identity on hyperbolic space and its applications
Bollettino dell'Unione Matematica Italiana, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Caccioppoli estimates through an anisotropic Picone’s identity
Proceedings of the American Mathematical Society, 2014Summary: Caccioppoli-type estimates for a class of nonlinear differential operators which include the \( p\)-Laplacian and the pseudo \( p\)-Laplacian as special cases are obtained by means of the differential identity involving an arbitrary norm in \( \mathbb{R}^n\) which generalizes the well-known multidimensional Picone's formula.
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Generalized Picone Identity for the Finsler p-Laplacian and its Applications
Ukrainian Mathematical Journal, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A TREATMENT OF STURM-LIOUVILLE EIGENVALUE PROBLEMS VIA PICONE'S IDENTITY
Analysis, 1985In the present paper self-adjoint Sturm-Liouville eigenvalue problems of even order are considered. While the existing proofs of the classical results, in particular of Rayleigh's principle, use methods from the calculus of variations and from the theory of integral equations (in connection with Green's function), we derive these results from a ...
Kratz, W., Peyerimhoff, A.
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Picone type identities and definiteness of quadratic functionals on time scales
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roman Simon Hilscher, Vera Zeidan
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