Results 1 to 10 of about 7,181,331 (93)
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 ...
Tingfu Feng, Xuewei Cui
doaj +5 more sources
Sturm comparison theorems via Picone-type inequalities for some nonlinear elliptic type equations with damped terms [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality.
Aydin Tiryaki, Sinem Sahiner
doaj +3 more sources
Generalized Picone inequalities and their applications to (p,q)-Laplace equations
Open Mathematics, 2020 We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
doaj +2 more sources
An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group
Boundary Value Problems, 2021 The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type differential
Duan Wu, Pengcheng Niu
doaj +1 more source
Holmstedt's formula for the K‐functional: the limit case θ0=θ1$\theta _0=\theta _1$
Mathematische Nachrichten, Volume 296, Issue 12, Page 5474-5492, December 2023., 2023 Abstract We consider K‐interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt‐type formula to be held in the limiting case θ0=θ1∈{0,1}$\theta _0=\theta _1\in \lbrace 0,1\rbrace$. We also study the case θ0=θ1∈(0,1)$\theta _0=\theta _1\in (0,1)$.
Irshaad Ahmed +2 more
wiley +1 more source
Networks, Volume 81, Issue 2, Page 204-219, March 2023., 2023 Abstract In this article, the Resource Constrained Clustered Shortest Path Tree Problem is defined. It generalizes the classic Resource Constrained Shortest Path Tree Problem since it is defined on an undirected, complete and weighted graph whose set of nodes is partitioned into clusters.
Daniele Ferone +3 more
wiley +1 more source
30 Years of space–time covariance functions
WIREs Computational Statistics, Volume 13, Issue 2, March/April 2021., 2021 A separable covariance function (left) and a space‐time covariance function with dynamical compact support. Abstract In this article, we provide a comprehensive review of space–time covariance functions. As for the spatial domain, we focus on either the d‐dimensional Euclidean space or on the unit d‐dimensional sphere.
Emilio Porcu +2 more
wiley +1 more source
Engineering Reports, Volume 2, Issue 2, February 2020., 2020 An efficient explicit numerical model is proposed for the simulation of heat, air, and moisture transfer in porous material. The combination of innovative approaches enables to relax the numerical stability condition to reduce the computational time. Abstract This article proposes an efficient explicit numerical model with a relaxed stability condition
Julien Berger +3 more
wiley +1 more source
Weak Comparison Principle for Weighted Fractional p‐Laplacian Equation
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to establish a weak comparison principle for a class fractional p‐Laplacian equation with weight. The nonlinear term f(x, s) > 0 is a Carathéodory function which is possibly unbounded both at the origin and at infinity and such that f(x, s)s1−p decreases with respect to s for a.e. x ∈ Ω.
Jin Xie, Jiabin Zuo
wiley +1 more source