Results 21 to 30 of about 18,879 (188)
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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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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Advanced Functional Materials, EarlyView.Sea cucumber mutable collagenous tissue (MCT) is a remarkable collagen‐based material which can rapidly undergo large changes in stiffness through transiently bound effector proteins. Here, we investigate the hierarchical structure and mechanical response of MCT from Cucumaria frondosa across length scales with a wide range of methods, also exploring ...
Nathalie R. H. Singh +7 more
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Resonance Problems for the p-Laplacian
Journal of Functional Analysis, 1999 Using variational arguments the authors prove the existence of a weak solution for the boundary value problem \[ \begin{cases} -\Delta_p u-\lambda|u|^{p-2}u+f(x,u)=0\quad&\text{in }\Omega,\\ u=0\quad&\text{on }\partial\Omega,\end{cases} \] where \(\Delta_p u=\)div\((|Du|^{p-2}Du)\), \(p>1\), \(\Omega\) is a bounded domain of \(\mathbb R^N\), \(\lambda ...
Drábek, Pavel, Robinson, Stephen B.
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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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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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On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems
Journal of Inequalities and Applications, 2017 We establish Lyapunov-type inequalities for a system involving one-dimensional ( p i , q i ) $(p_{i},q_{i})$ -Laplacian operators ( i = 1 , 2 $i=1,2$ ).
Mohamed Jleli, Bessem Samet
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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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