Results 41 to 50 of about 1,542,295 (301)
Uniqueness and radial symmetry of minimizers for a nonlocal variational problem [PDF]
Communications on Pure and Applied Analysis, 2017 In this paper we prove the uniqueness and radial symmetry of minimizers for variational problems that model several phenomena. The uniqueness is a consequence of the convexity of the functional.
Orlando Lopes
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Radial symmetry for a quasilinear elliptic equation with a critical Sobolev growth and Hardy potential [PDF]
Journal des Mathématiques Pures et Appliquées, 2018 We consider weak positive solutions to the critical $p$-Laplace equation with Hardy potential in $\mathbb R^N$ $$-\Delta_p u -\frac{\gamma}{|x|^p} u^{p-1}=u^{p^*-1}$$ where ...
F. Oliva, B. Sciunzi, Giusi Vaira
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Metals, 2023 An investigation of partial radial distribution functions and atomic pair potentials within a system has established that the existing potential functions are rooted in the assumption of a static arrangement of atoms, overlooking their distribution and ...
Jiulong Hang, Dongping Tao
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On the symmetry of minimizers in constrained quasi-linear problems [PDF]
, 2010 We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.Comment: 18 ...
Squassina, Marco
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Radial symmetry of standing waves for nonlinear fractional Hardy-Schrödinger equation
Applied Mathematics Letters, 2019 In this paper, by applying the method of moving planes, we conclude the conclusions for the radial symmetry of standing waves for a nonlinear Schrodinger equation involving the fractional Laplacian and Hardy potential. First, we prove the radial symmetry
Guotao Wang +3 more
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Plant Signaling & Behavior, 2023 Flower angle is crucially important for accurate pollination and flower protection against abiotic factors. Evolutionary factors shaping floral traits are particularly strong for bilaterally symmetric flowers because these flowers require more ...
Pavol Prokop +5 more
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Advances in Nonlinear Analysis, 2021 In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
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Symmetric RBF classifier for nonlinear detection in multiple-antenna aided systems [PDF]
, 2008 In this paper, we propose a powerful symmetric radial basis function (RBF) classifier for nonlinear detection in the so-called “overloaded” multiple-antenna-aided communication systems. By exploiting the inherent symmetry property of the optimal Bayesian
Chen, Sheng +3 more
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Radial symmetry for p-harmonic functions in exterior and punctured domains [PDF]
, 2018 We prove symmetry for the p-capacitary potential satisfying under Serrin’s overdetermined condition Here is any bounded domain on which no a priori assumption is made, and denotes its boundary. Our result improves on a work of Garofalo and Sartori, where
Giorgio Poggesi
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Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics [PDF]
Inventiones Mathematicae, 2016 We analyze under which conditions equilibration between two competing effects, repulsion modeled by nonlinear diffusion and attraction modeled by nonlocal interaction, occurs.
J. Carrillo +3 more
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