Results 21 to 30 of about 20,082 (264)
On Coron's problem for the p-Laplacian
Journal of Mathematical Analysis and Applications, 2015 6 ...
Mercuri C., Sciunzi B., Squassina M.
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Eigenvalues for systems of fractional $p$-Laplacians [PDF]
Rocky Mountain Journal of Mathematics, 2018 19 ...
Pezzo, Leandro M. Del, Rossi, Julio D.
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On the uniqueness of eigenfunctions for the vectorial p-Laplacian
Archiv der Mathematik, 2023 AbstractWe study a nonlinear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
Ryan Hynd, Bernd Kawohl, Peter Lindqvist
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Communications on Pure and Applied Analysis, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The dual eigenvalue problems for p-Laplacian [PDF]
Acta Mathematica Hungarica, 2013 19 ...
Cheng, Yan-Hsiou +2 more
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The principal eigencurve for the $p$-Laplacian
Differential and Integral Equations, 1995 The authors study the principal eigencurve \(\mu= \mu(\lambda)\) of the 2 parameter nonlinear eigenvalue problem \[ -\text{div} (| \nabla u|^{p-2} \nabla u)+ a(x)| u|^{p-2} u-\lambda m(x)| u|^{p-2}u= \mu| u|^{p-2} u \text{ in } \Omega, \quad u=0 \text{ on } \partial\Omega.
Binding, P. A., Huang, Y. X.
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The one-phase bifurcation for the p-Laplacian [PDF]
Journal of Differential Equations, 2019 A bifurcation about the uniqueness of a solution of a singularly perturbed free boundary problem of phase transition associated with the p-Laplacian, subject to given boundary condition is proved in this paper. We show this phenomenon by proving the existence of a third solution through the Mountain Pass Lemma when the boundary data decreases below a ...
Ali, Alaa Akram Haj, Wang, Peiyong
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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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Organic Materials of Tomorrow: Horizons of Artificial Intelligence
Advanced Materials, EarlyView.This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
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The spectrum of the periodic p-Laplacian
Journal of Differential Equations, 2007 New properties of the spectrum \(\sigma\) are determined for the boundary value problems {\parindent6.5mm \begin{itemize}\item[(i)] \(-\Delta_p u= (\lambda- q(x))|u|^{p-1}\text{sgn\,}u\), \(p> 1\), \(x\in(0,\pi_p)\) with periodic boundary conditions \item[(ii)] \(u(0)= u(\pi_p)\), \(u'(0)= u'(\pi_p)\), \(q(x)\in C^1[0,\pi_p]\), \(\lambda\in \mathbb R\),
Binding, Paul A., Rynne, Bryan P.
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