Results 71 to 80 of about 19,228,694 (296)
The wave equation for the $p$-Laplacian [PDF]
Hokkaido Mathematical Journal, 2007 We consider generalized wave equations for the $p$--Laplacian and prove the local in time existence of solutions to the Cauchy problem. We give an estimate of the life-span of the solution, and show by a generic counter-example that global in time solutions can not be expected.
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Homological eigenvalues of graph p-Laplacians
Journal of Topology and Analysis, 2023 Inspired by persistent homology in topological data analysis, we introduce the homological eigenvalues of the graph [Formula: see text]-Laplacian [Formula: see text], which allows us to analyze and classify non-variational eigenvalues. We show the stability of homological eigenvalues, and we prove that for any homological eigenvalue [Formula: see text]
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Advanced Science, EarlyView.This study developed an unsupervised radiomics system integrating CT imaging and multi‐omics data to stratify clear cell renal cell carcinoma into two subtypes with distinct clinical outcomes. Cluster 1 showed lower recurrence risk and active immunity, while Cluster 2 exhibited higher recurrence risk, enriched VHL/KDM5C mutations, immunosuppressive ...
Yusheng Guo +14 more
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Angewandte Chemie, EarlyView.We describe a one‐pot synthetic procedure for the functionalization with organosulfur ligands of hexa‐iron carbide carbonyl clusters. This synthetic procedure is highly versatile and may be applied to alkyl, aryl, and functionalized organic sulfur reagents, including the chiral amino acids L‐ and D‐cysteine.
Francesca Forti +6 more
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Some Liouville theorems for the p-Laplacian
Electronic Journal of Differential Equations, 2002 In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri and Pohozaev because it uses a comparison principle that can be applied to nondivergence form ...
Isabeau Birindelli, Francoise Demengel
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Weyl-type laws for fractional p-eigenvalue problems
, 2014 We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
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The dual eigenvalue problems for p-Laplacian [PDF]
Acta Mathematica Hungarica, 2013 19 ...
Yan-Hsiou Cheng +2 more
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The Insulated Conductivity Problem with p-Laplacian
Archive for Rational Mechanics and Analysis, 2023 39 pages.
Hongjie Dong, Zhuolun Yang, Hanye Zhu
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Enhancing Spatial Transcriptomics via Spatially Constrained Matrix Decomposition with EDGES
Advanced Science, EarlyView.Imaging‐based spatial transcriptomics technologies are currently limited by their restricted gene detection capacity and low measurement accuracy. Moreover, the insufficient integration of spatial context and single‐cell reference data poses a significant challenge for comprehensive data analysis.
Jinyue Zhao +5 more
wiley +1 more source
Four-parameter bifurcation for a p-Laplacian system
Electronic Journal of Differential Equations, 2001 We study a four-parameter bifurcation phenomenum arising in a system involving $p$-Laplacians: $$displaylines{ -Delta_p u = a phi_p(u)+ b phi_p(v) + f(a , phi_p (u), phi_p (v)) ,cr -Delta_p v = c phi_p(u) + d phi{p}(v)) + g(d , phi_p (u), phi_p (v)), }$$
Jacqueline Fleckinger +2 more
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