Results 31 to 40 of about 24,018,000 (299)
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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Periodic solutions for nonlocal p(t) $p(t)$-Laplacian systems
Boundary Value Problems, 2019 The purpose of this paper is to investigate the existence of periodic solutions for a class of nonlocal p(t) $p(t)$-Laplacian systems. When the nonlinear term is p+ $p^{+}$-superlinear at infinity, some new solvability conditions of nontrivial periodic ...
Shengui Zhang
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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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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 ...
Staicu, Vasile +6 more
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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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Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin [PDF]
, 2010 We consider a nonlinear Neumann problem driven by the p- Laplacian, with a right-hand side nonlinearity which is concave near the origin. Using variational techniques, combined with the method of upper-lower solutions and with Morse theory, we show ...
Staicu, Vasile +2 more
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