Results 71 to 80 of about 113 (80)

Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications

Advances in Operator Theory, 2021
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Durvudkhan Suragan, Nurgissa Yessirkegenov   +1 more
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New nonlinear Picone identities with variable exponents and applications

Commentationes Mathematicae Universitatis Carolinae
Summary: This paper introduces two novel nonlinear anisotropic Picone identities with variable exponents that expand upon the traditional identity used for the ordinary Laplace equation. Additionally, the research explores potential applications of these findings in anisotropic Sobolev spaces featuring variable exponents.
Khelifi, Hichem, El Hadfi, Youssef
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Picone identities for ordinary differential equations of fourth order

Mathematics journal of Toyama University, 2004
The authors establish a new type of Picone identity for fourth-order differential equations and derive the corresponding Sturmian comparison theorem.
Tanigawa, Tomoyuki, Yoshida, Norio
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Picone identity for quasilinear elliptic equations with -Laplacians and Sturmian comparison theory

Applied Mathematics and Computation, 2013
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The application of Picone-type identity for some nonlinear elliptic differential equations

2003
Summary: There is established a Picone-type identity for the second order partial differential equation \[ \sum ^N_{i=1}\frac {\partial }{\partial x_i} \Biggl (r_i(x)\,\varphi \left (\frac {\partial u}{\partial x_i}\right)\Biggl) +\, c(x)\varphi (u) = 0, \quad \varphi (u) :=| u| ^{p-1}u,\;p>0.\leqno {(*)} \] Using this identity there is proved the ...
Bognár, G., Dosly, O.
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Picone Identities and Applications

2008
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The Picone identity for self‐adjoint differential equations of even order

Mathematika, 1973
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Sturm's theorems and Picone integral identity for a class of fourth order partial differential equation

1985
L'auteur démontre plusieurs inégalités relatives au bilaplacien dans un ouvert régulier de \({\mathbb{R}}^ n\).
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Some analogs of the Picone identity applied to fourth order differential equations

1973
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Anisotropic Picone Type Identities for General Vector Fields and Some Applications

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