Results 21 to 30 of about 113 (80)
A Picone identity for variable exponent operators and applications [PDF]
Advances in Nonlinear Analysis, 2019 Abstract In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u| p(x)−2 ∇ u). Our extension provides a new version of the Diaz-Saa inequality and new uniqueness results to some quasilinear elliptic equations with variable exponents.
Arora Rakesh +2 more
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Anisotropic Picone identities and anisotropic Hardy inequalities [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type inequality are shown.
Tingfu Feng, Xuewei Cui
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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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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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The Picone identity for a class of partial differential equations [PDF]
Mathematica Bohemica, 2002 Summary: The Picone-type identity for the half-linear second order partial differential equation \[ \sum _{i=1}^n\frac {\partial }{\partial x_i} \Phi \bigg (\frac {\partial u}{\partial x_i}\bigg )+c(x)\Phi (u)=0,\quad \Phi (u):=| u| ^{p-2}u,\;p>1, \] is established and some applications of this identity are suggested.
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The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics [PDF]
Nonlinear Analysis: Real World Applications, 2021 This paper infers from a generalized Picone identity the uniqueness of the stable positive solution for a class of semilinear equations of superlinear indefinite type, as well as the uniqueness and global attractivity of the coexistence state in two generalized diffusive prototypes of the symbiotic and competing species models of Lotka-Volterra.
Sergio Fernández-Rincón +1 more
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Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian [PDF]
, 2002 The purpose of this paper is to extend the Díaz-Saá's inequality for the unbounded domains as RN: [fórmula]. The proof is based on the Picone's identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of
Chaïb, Karim, K. Chaïb
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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
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Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator [PDF]
, 2015 summary:We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet $p$-Laplacian and the Navier $p$-biharmonic operator on a ball of radius $R$ in $\mathbb R^N$ and its asymptotics for $p$ approaching $1$ and $\infty ...
Benedikt, Jiří
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AGU Advances, Volume 7, Issue 3, June 2026.Abstract In Low Earth Orbit (LEO), atmospheric drag is the dominant source of trajectory prediction error below approximately 700 km altitude, primarily due to inaccuracies in thermospheric density models. This work presents a method for temporally deconvolving Energy Dissipation Rates (EDRs) to produce single‐satellite density estimates, which can be ...
S. Mutschler +6 more
wiley +1 more source