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On Semilinear Elliptic Equations with Hardy-Leray Potentials

Tokyo Journal of Mathematics
Summary: This paper is concerned with a semilinear elliptic equation with the Hardy-Leray potential. We employ the method of moving planes to prove the radial symmetry of positive solutions. Based on this result, we obtain the Liouville theorem in subcritical case. In addition, we find special radial solutions in critical case. All the properties above
Li, Yayun, Lei, Yutian
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Hardy Personality: A Potential Link with Organizational Citizenship Behavior

Psychological Reports, 2003
Hardiness is a personality construct which is assumed to protect the individual from stress-induced illness. Although widely accepted, hardiness has shown only modest relations with the development of illness. Examining the components of hardiness indicates apparent consistency with organizational citizenship behaviors such as obedience, participation,
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Hardy class functions for potential scattering and decay

Reports on Mathematical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gadella, M.   +2 more
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On the Neumann problem with the Hardy–Sobolev potential

Annali di Matematica Pura ed Applicata, 2006
This paper deals with the qualitative analysis of a nonlinear Neumann problem with indefinite weight function. The main feature of this work consists in the lack of compactness, namely the presence of a critical Hardy-Sobolev nonlinearity. The author investigates the common effect of the shape of the graph of a weight function and the mean curvature of
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Liouville Results for Fractional Elliptic Equations with Hardy Potential

Journal of Dynamics and Differential Equations, 2019
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HARDY AND HALF HARDY TERRESTRIAL ORCHIDS AS POTENTIAL NEW POTPLANTS

Acta Horticulturae, 1998
Jørgensen, B. I., Andersen, T. F.
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HARDY INEQUALITIES WITH HI-POTENTIAL INVOLVED DUNKL OPERATOR

Tạp chí Khoa học
We prove a Hardy-type inequalities in Dunkl setting, integrated with an HI-potential. Our approach utilizes the h-harmonic expansion of functions and integrating techniques such as integral transformations, spherical coordinate formulas, and separation of variables, we derive the main result presented in Theorem 1.
Van Phong Nguyen   +3 more
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Some remarks on nonlinear elliptic problems involving Hardy potentials

2007
In this note we prove an Hardy type inequality with a remainder term, where the potential depends only on a group of variables. Such a result allows us to show the existence of entropy solutions to a class of elliptic P.D.E.'s.
BRANDOLINI, BARBARA   +2 more
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Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials

Applicable Analysis, 2023
Jann-Long Chern   +2 more
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