Results 11 to 20 of about 474,338 (128)
Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality [PDF]
International Journal of Differential Equations, 2010 Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to
Norio Yoshida
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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
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Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with p(x)-Laplacians [PDF]
Electronic Journal of Differential Equations, 2012 A Picone-type inequality for quasilinear elliptic operators with mixed nonlinearities and with p(x)-Laplacian is established, and Sturmian comparison theorems are derived on the basis of the Picone-type inequality.
Norio Yoshida
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Sturm-Picone type theorems for nonlinear differential systems
Electronic Journal of Differential Equations, 2015 In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear ...
Aydin Tiryaki
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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
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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 non-smooth Brezis-Oswald uniqueness result
Open Mathematics, 2023 We classify the non-negative critical points in W01,p(Ω){W}_{0}^{1,p}\left(\Omega ) of J(v)=∫ΩH(Dv)−F(x,v)dx,J\left(v)=\mathop{\int }\limits_{\Omega }\hspace{0.15em}H\left(Dv)-F\left(x,v){\rm{d}}x, where HH is convex and positively pp-homogeneous, while ...
Mosconi Sunra
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A generalized nonlinear Picone identity for the p-biharmonic operator and its applications
Journal of Inequalities and Applications, 2019 A generalized nonlinear Picone identity for the p-biharmonic operator is established in this paper. As applications, a Sturmian comparison principle to the p-biharmonic equation with singular term, a Liouville’s theorem to the p-biharmonic system, and a ...
Tingfu Feng
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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
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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
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