On the discrete version of Picone's identity [PDF]
Discrete Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allegretto, Walter, Huang, Yin Xi
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Generalized Picone's identity and its applications
Electronic Journal of Differential Equations, 2013 In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
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Generalized nonlinear Picone's identity for the p-Laplacian and its applications
Electronic Journal of Differential Equations, 2016 In this article we derive a generalized version of nonlinear Picone's identity for the p-Laplacian. We use this identity to obtain a Hardy-type inequality and a Sturm comparison result.
Aydin Tiryaki
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Picones's identity and the moving plane procedure
Electronic Journal of Differential Equations, 1995 partial differential equations are shown to be symmetric by means of the moving plane argument coupled with Spectral Theory results and Picone's Identity.
W. Allegretto, D. Siegel
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Picone's identity for the p-biharmonic operator with applications
Electronic Journal of Differential Equations, 2011 In this article, a Picone-type identity for the weighted p-biharmonic operator is established and comparison results for a class of half-linear partial differential equations of fourth order based on this identity are derived.
Jaroslav Jaros
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Picone's Identity for $p$-biharmonic operator and Its Applications
, 2015 In this article we prove the nonlinear analogue of Picone's identity for $p-$biharmonic operator. As an application of our result we show that the Morse index of the zero solution to a $p-$biharmonic boundary value problem is $0$. We also prove a Hardy type inequality and Sturmian comparison principle.
Dwivedi, Gaurav
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Sturmian comparison theory for half‐linear and nonlinear differential equations via Picone identity
Mathematical Methods in the Applied Sciences, 2016 In this paper, Sturmian comparison theory is developed for the pair of second‐order differential equations; first of which is the nonlinear differential equations of the form urn:x-wiley:mma:media:mma4224:mma4224-math-0001 and the second is the half‐linear differential equations urn:x-wiley:mma:media:mma4224:mma4224-math-0002 where Φα(s) = |s|α −
Ozbekler, Abdullah
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PICONE'S IDENTITY IN NON-LEIBNIZ ALGEBRAS
Demonstratio Mathematica, 1982 Danuta Przeworeka - Rolewicz
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Picone's identity for a system of first-order nonlinear partial differential equations
Electronic Journal of Differential Equations, 2013 We established a Picone identity for systems of nonlinear partial differential equations of first-order. With the help of this formula, we obtain qualitative results such as an integral inequality of Wirtinger type and the existence of zeros for the ...
Jaroslav Jaros
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$$A$$ A -harmonic Picone’s identity with applications
Annali di Matematica Pura ed Applicata (1923 -), 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nhan, Nguyen Du Vi +3 more
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