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Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
Advances in Nonlinear Analysis, 2015 We deal with a class of inhomogeneous elliptic problems involving the biharmonic operator Δ2u + V(|x|)|u|q-2u = Q(|x|)f(u), u ∈ D02,2(ℝN), where Δ2 is the biharmonic operator and V, Q are singular continuous functions.
Demarque Reginaldo, Miyagaki Olimpio H.
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Generalized model for anisotropic compact stars [PDF]
, 2016 In the present investigation an exact generalized model for anisotropic compact stars of embedding class one is sought for under general relativistic background. The generic solutions are verified by exploring different physical aspects, viz.
Deb, Debabrata +3 more
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THz Characterization and Modeling of SiGe HBTs: Review (Invited)
IEEE Journal of the Electron Devices Society, 2020 This article presents a state-of-art review of on-wafer S-parameter characterization of THz silicon transistors for compact modelling purpose. After, a brief review of calibration/de-embedding techniques, the paper focuses on the on-wafer calibration ...
Sebastien Fregonese +5 more
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Sharpened Adams Inequality and Ground State Solutions to the Bi-Laplacian Equation in ℝ4
Advanced Nonlinear Studies, 2018 In this paper, we establish a sharp concentration-compactness principle associated with the singular Adams inequality on the second-order Sobolev spaces in ℝ4{\mathbb{R}^{4}}.
Chen Lu +3 more
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Anisotropic compact star model: a brief study via embedding
European Physical Journal C: Particles and Fields, 2019 In present article a new model of compact star is obtained in the framework of general relativity which does not suffer from any kinds of singularity. We assume that the underlying fluid distribution is anisotropic in nature along with a new form for the
Piyali Bhar
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Realization of compact spaces as cb-Helson sets [PDF]
, 2015 We show that, given a compact Hausdorff space $\Omega$, there is a compact group ${\mathbb G}$ and a homeomorphic embedding of $\Omega$ into ${\mathbb G}$, such that the restriction map ${\rm A}({\mathbb G})\to C(\Omega)$ is a complete quotient map of ...
Choi, Yemon
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Remarks on Smooth Real-Compactness for Sikorski Spaces
Demonstratio Mathematica, 2014 It is known that every Sikorski space with the countably generated differential structure is smoothly real-compact. It means that every homomorphism from its differential structure, which forms a ring of smooth real-valued functions into the ring of real
Cukrowski Michał J. +1 more
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Embeddability of some strongly pseudoconvex CR manifolds
, 2004 We obtain an embedding theorem for compact strongly pseudoconvex CR manifolds which are bounadries of some complete Hermitian manifolds. We use this to compactify some negatively curved Kaehler manifolds with compact strongly pseudoconvex boundary.
Marinescu, G., Yeganefar, N.
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Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces
Journal of Function Spaces, 2014 We continue our research on Sobolev spaces on locally compact abelian (LCA) groups motivated by our work on equations with infinitely many derivatives of interest for string theory and cosmology.
Przemysław Górka +2 more
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Synset2Node: A new synset embedding based upon graph embeddings
Intelligent Systems with Applications, 2023 Due to the advances made in recent years, embedding methods caused a significant increase in the accuracy of text or graph processing methods. Embedding methods exhibit a compact vector representation of the basic elements (words, synsets, nodes,..) of ...
Fatemeh Jafarinejad
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