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Picone type identities and definiteness of quadratic functionals on time scales

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roman Simon Hilscher, Vera Zeidan
openaire   +3 more sources

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 identity for quasilinear elliptic equations with -Laplacians and Sturmian comparison theory

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Picone identity for half-linear elliptic equations and its applications to oscillation theory

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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’s identity for biharmonic operators on Heisenberg group and its applications

Nonlinear Differential Equations and Applications, 2016
Gaurav dwivedi, Jagmohan Tyagi
exaly  

Dynamic Picone's identity and its applications

Journal of Mathematical Analysis and Applications, 2019
Vu Kim Tuan
exaly  

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