Results 21 to 30 of about 527 (165)

Generalized Picone and Riccati inequalities for half-linear differential operators with arbitrary elliptic matrices

Electronic Journal of Differential Equations, 2010
In the article, we extend the well-known Picone identity for half-linear partial differential equations to equations with anisotropic p-Laplacian.
Simona Fisnarova, Robert Marik
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Lyrical Code-Switching, Multimodal Intertextuality, and Identity in Popular Music

Languages
Augmenting the author’s prior research on lyrical code-switching, as presented in Picone, “Artistic Codemixing”, published in 2002, various conceptual frameworks are made explicit, namely the enlistment of multimodal and intertextual approaches for their
Michael D. Picone
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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 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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Picone-type identity and comparison results for a class of partial differential equations of order 4m [PDF]

Opuscula Mathematica, 2013
In the paper, a Picone-type identity for the weighted \(p\)-polyharmonic operator is established and comparison theorems and other qualitative results for a class of half-linear partial differential equations of the \(4m\)th order based on this identity ...
Jaroslav Jaroš
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Global continuum and multiple positive solutions to one-dimensional p-Laplacian boundary value problem

Advances in Difference Equations, 2020
We show the global structure of the set of positive solutions of a discrete Dirichlet problem involving the p-Laplacian difference operator suggesting suitable conditions on the weight function and nonlinearity.
Liping Wei, Ruyun Ma
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Caccioppoli-type inequalities for Dirac operators

Journal of Inequalities and Applications, 2022
In this paper, we establish the Caccioppoli estimates for the nonlinear differential equation − D ‾ ( | D v | p − 2 D v ) = λ | v | p − 2 v , 1 < p < ∞ , $$ - \overline{D}\bigl( \vert Dv \vert ^{p-2}Dv\bigr) = \lambda \vert v \vert ^{p-2}v, \quad 1< p ...
Ardak Kashkynbayev, Gulaiym Oralsyn
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A Picone's identity for the p(x)-Laplace equations and its applications [PDF]

Mathematical Inequalities & Applications, 2021
Summary: In this paper, we present a Picone identity for the \(p(x)\)-Laplace equations and establish some applications of this formula, such as Caccioppoli inequalities, nonexistence of positive supersolutions, domain monotonicity property, uniqueness and simplicity of the first eigenvalue, Hardy type inequality, Barta-type inequality, a nonlinear ...
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New nonlinear Picone identities with variable exponents and applications

, 2023
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.
El Hadfi, Youssef, Khelifi, Hichem
core   +1 more source

A new variable exponent Picone identity and applictions [PDF]

Mathematical Inequalities & Applications, 2019
Summary: In this paper, we derive a new variable exponent Picone identity for \(p(x)\)-Laplacian, which contains some known Picone identities. As applications, a strict monotonicity of principal eigenvalues with respect to domains for the eigenvalue problems to \(p(x)\)-Laplace equation, a variable exponent Barta type inequality, a variable exponent ...
Feng, Tingfu, Han, Junqiang
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