Results 61 to 70 of about 35,592 (307)
European Journal of Mathematical Analysis, 2022 In the present paper, we investigate the stability results of positive weak solution for the generalized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacian operator −d∆P,pu = ka(x)u[ν − υu] in Ω, Bu = 0 on ∂Ω, where ∆P,p
Salah A. Khafagy, Hassan M. Serag
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On the fundamental eigenvalue ratio of the p-Laplacian
Bulletin des Sciences Mathématiques, 2007 It is shown that the fundamental eigenvalue ratio _2 / _1 of the p-Laplacian is bounded by a quantity depending only on the dimension N and p.
Jacqueline Fleckinger +2 more
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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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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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P-Laplacian Dirac system on time scales
Journal of Taibah University for Science, 2019 The $ {p} $ -Laplacian type Dirac systems are nonlinear generalizations of the classical Dirac systems. They can be observed as a bridge between nonlinear systems and linear systems.
Tuba Gulsen, Emrah Yilmaz, Meltem Kayali
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Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian
Nonlinear Analysis, 2015 In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
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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 Intelligent Discovery, EarlyView.Feature selection combined with machine learning and high‐throughput experimentation enables efficient handling of high‐dimensional datasets in emerging photovoltaics. This approach accelerates material discovery, improves process optimization, and strengthens stability prediction, while overcoming challenges in data quality and model scalability to ...
Jiyun Zhang +5 more
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Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]
, 2006 We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Aizicovici, Sergiu +2 more
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Advanced Intelligent Systems, EarlyView.The motion of magnetic microrobots through cerebral bifurcations depends on various parameters such as the microrobots size, the blood velocity, and the imposed magnetic field gradients, among others. This work presents an in‐depth analysis of the effects of these parameters and equations predicting the required magnetic gradients based on the ...
Pedro G. Alves +10 more
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