Results 11 to 20 of about 1,691,336 (170)
Picone-type identity for pseudo p-Laplacian with variable power [PDF]
Electronic Journal of Differential Equations, 2012 A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p=p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial ...
Gabriella Bognar, Ondrej Dosly
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Picone identities for ordinary differential equations of fourth order [PDF]
Mathematics journal of Toyama University, 2004 The authors establish a new type of Picone identity for fourth-order differential equations and derive the corresponding Sturmian comparison theorem.
Tanigawa, Tomoyuki, Yoshida, Norio
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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 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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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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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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Electronic Journal of Differential Equations, 2021 In this article, we study a class of doubly nonlinear parabolic problems involving the fractional p-Laplace operator. For this problem, we discuss existence, uniqueness and regularity of the weak solutions by using the time-discretization method and ...
Jacques Giacomoni +2 more
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Oscillatory Property of Solutions for p(t)-Laplacian Equations
Journal of Inequalities and Applications, 2007 We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
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JEADV Clinical Practice, EarlyView.Topical ruxolitinib 1.5% cream was assessed in 39 adolescents with non‐segmental vitiligo. Median T‐VASI fell at week 24 (n = 34) and week 52 (n = 18), with repigmentation most pronounced on the face: 55.6% reached F‐VASI50 at week 52. Few adverse events were recorded, all mild application‐site reactions in 4 of 39 patients.
L. Coronella +3 more
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The illusion of competence: Managers and the Dunning–Kruger effect
European Management Review, EarlyView.Abstract Do managers properly recognize their own expertise? This study explores distortions in self‐perception by investigating the presence of the Dunning–Kruger effect, a cognitive bias that distorts self‐assessment, within managerial contexts. Although widely studied in psychology, its implications for management remain underexplored.
Francesca Sanguineti +3 more
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