Results 31 to 40 of about 24,806 (247)
Advanced Intelligent Discovery, EarlyView.This work establishes a correlation between solvent properties and the charge transport performance of solution‐processed organic thin films through interpretable machine learning. Strong dispersion interactions (δD), moderate hydrogen bonding (δH), closely matching and compatible with the solute (quadruple thiophene), and a small molar volume (MolVol)
Tianhao Tan, Lian Duan, Dong Wang
wiley +1 more source
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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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Advanced Intelligent Systems, EarlyView.Feature from recent image foundation models (DINOv2) are useful for vision tasks (segmentation, object localization) with little or no human input. Once upsampled, they can be used for weakly supervised micrograph segmentation, achieving strong results when compared to classical features (blurs, edge detection) across a range of material systems.
Ronan Docherty +2 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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On some Liouville theorems for $ p $-Laplace type operators
Communications in Analysis and MechanicsThe aim of this note is to examine Liouville-type theorems for $ p $-Laplacian-type operators. Guided by the Laplacian case, analogous results are established for the $ p $-Laplacian and sums of operators of this type.
Michel Chipot, Daniel Hauer
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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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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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Multiple Solutions for Partial Discrete Dirichlet Problems Involving the p-Laplacian
Mathematics, 2020 Due to the applications in many fields, there is great interest in studying partial difference equations involving functions with two or more discrete variables.
Sijia Du, Zhan Zhou
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Some class of nonlinear inequalities with gradient constraints in Orlicz spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
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