Results 71 to 80 of about 24,018,000 (299)
Strongly nonlinear elliptic problem without growth condition
Electronic Journal of Differential Equations, 2002 We study a boundary-value problem for the $p$-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity.
Aomar Anane, Omar Chakrone
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Two solutions for a parametric singular p-Laplacian problem
, 2020 In this paper, we combine variational methods and truncation techniques to study the existence of at least two weak solutions for a p-Laplacian problem depending by a positive parameter γ and with reaction term singular at zero.
Perera K., Guarnotta U., Candito P.
core +1 more source
Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
Advanced Intelligent Discovery, EarlyView.Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong +5 more
wiley +1 more source
Global branching for discontinuous problems involving the p-Laplacian
Electronic Journal of Differential Equations, 2013 In this article, we study elliptic problems with discontinuous nonlinearities involving the p-Laplacian both in bounded and unbounded domains. We prove that there exists a global branch of positive solutions under some suitable assumptions of the ...
Guowei Dai, Ruyun Ma
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The Beginning of the Fučik Spectrum for the p-Laplacian
Journal of Differential Equations, 1999 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^N\), \(N\geq 1\) and let \(p\) be a real number greater than \(1\). The Fučik spectrum of the \(p\)-Laplacian \(\Delta_p=\operatorname {div}(|\nabla u|^{p-2}\nabla u)\) on \(W^{1,p}_0(\Omega)\) is defined as the set \(\Sigma_p\) of pairs \((\alpha,\beta)\in \mathbb{R}^2\) such that the Dirichlet ...
Gossez, Jean-Pierre +2 more
openaire +3 more sources
Robust Representation Learning for Clean Feature Discovery in Incomplete Multi‐View Clustering
Advanced Intelligent Systems, EarlyView.Robust feature discovery in incomplete multi‐view clustering is achieved by coupling RPCA‐based clean representation recovery with neural‐network‐assisted graph learning. The resulting RIMVC framework constructs cleaner and more discriminative graph‐structured representations from incomplete and noisy multi‐view data, improving clustering robustness ...
Ping Hu +4 more
wiley +1 more source
Nonnegative solutions of nonlinear fractional Laplacian equations [PDF]
, 2020 The study of reaction-diffusion equations involving nonlocal diffusion operators has recently flourished. The fractional Laplacian is an example of a nonlocal diffusion operator which allows long-range interactions in space, and it is therefore important
Hollifield, Elliott Z. +1 more
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Advanced Intelligent Systems, EarlyView.A scalable distributed observer framework for LiDAR sensor networks is presented for robust tracking and pose estimation of mobile robots. By combining adaptable 3D detection, clustering‐based communication reduction, and intermittent inertial fusion, accurate and efficient estimation is achieved under occlusions and sensing constraints, with formally ...
Isabella Luppi, Ehsan Hashemi
wiley +1 more source
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
wiley +1 more source
Prufer transformation for the p-Laplacian
Electronic Journal of Differential Equations, 2010 Prufer transformation is a useful tool for study of second-order ordinary differential equations. There are many possible extensions of the original Prufer transformation. We focus on a transformation suitable for study of boundary value problems for
Jiri Benedikt, Petr Girg
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