Results 21 to 30 of about 203,139 (278)
On the Lq-reflector problem in ℝn with non-Euclidean norm
Advanced Nonlinear Studies, 2022 In this article, we introduce a class of geometric optics measure-the LqΣ{L}_{q}\hspace{0.33em}\Sigma -reflector measure which arises from an Lq{L}_{q} extension of the Σ\Sigma -reflector measure.
Wang Jing
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An overdetermined problem for the anisotropic capacity [PDF]
, 2016 We consider an overdetermined problem for the Finsler Laplacian in the exterior of a convex domain in $\mathbb{R}^N$, establishing a symmetry result for the anisotropic capacitary potential. Our result extends the one of W. Reichel [Arch.
Bianchini, Chiara +2 more
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A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Comptes Rendus. Mathématique, 2020 We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert.
Di Marino, Simone +2 more
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On the norms and Hadamard product of Toeplitz matrices involving Leonardo numbers [PDF]
Mathematica MoravicaIn this study, we consider the Toeplitz matrices with entries being Leonardo numbers. We have found upper and lower bounds for the spectral norms of these matrices, considering also the Hadamard product of this type of matrix.
Catarino Paula +4 more
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Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean [PDF]
Mathematics of Computation, 2011 We give examples of Generalized Euclidean but not norm-Euclidean number fields of degree greater than 2. In the same way we give examples of 2-stage Euclidean but not norm-Euclidean number fields of degree greater than 2. In both cases, no such examples were known.
openaire +2 more sources
The Pólya-Szegö Principle and the Anisotropic Convex Lorentz-Sobolev Inequality
The Scientific World Journal, 2014 An anisotropic convex Lorentz-Sobolev inequality is established, which extends Ludwig, Xiao, and Zhang’s result to any norm from Euclidean norm, and the geometric analogue of this inequality is given.
Shuai Liu, Binwu He
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International Journal of Mathematics and Mathematical Sciences, 2012 We present a new proof of the Pythagorean theorem which suggests a particular decomposition of the elements of a topological algebra in terms of an “inverse norm” (addressing unital algebraic structure rather than simply vector space structure).
Fred Greensite
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A Wave-function for Stringy Universes [PDF]
, 2007 We define a wave-function for string theory cosmological backgrounds. We give a prescription for computing its norm following an earlier analysis within general relativity.
+25 more
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On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers
Abstract and Applied Analysis, 2014 Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers.
Zhaolin Jiang, Jinjiang Yao, Fuliang Lu
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Eigenvalue bounds for non-self-adjoint Schr\"odinger operators with non-trapping metrics [PDF]
, 2019 We study eigenvalues of non-self-adjoint Schr\"odinger operators on non-trapping asymptotically conic manifolds of dimension $n\ge 3$. Specifically, we are concerned with the following two types of estimates.
Guillarmou, Colin +2 more
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