Minimax principles for critical-point theory in applications to quasilinear boundary-value problems
Electronic Journal of Differential Equations, 2000 Using the variational method developed by the same author in [7], we establish the existence of solutions to the equation $-Delta_p u = f(x,u)$ with Dirichlet boundary conditions.
A. R. El Amrouss, M. Moussaoui
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Positive Solutions for the p-Laplacian and Bounds for its First Eigenvalue [PDF]
, 2009 Hamilton Bueno +2 more
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On the sum of the k largest absolute values of Laplacian eigenvalues of digraphs
, 2023 Xiuwen Yang, Xiaogang Liu, Ligong Wang
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Eigenvalue problems with \(p\)-Laplacian operators
Electronic Journal of Differential Equations, 2014 Summary: We study eigenvalue problems with the \(p\)-Laplacian operator: \[ -(|y'|^{p-2} y')'= (p-1)(\lambda\rho(x)- q(x))|y|^{p-2} y\quad\text{on }(0,\pi_p), \] where \(p>1\) and \(\pi_p\equiv 2\pi/(p\sin(\pi/p))\). We show that if \(\rho\equiv 1\) and \(q\) is single-well with transition point \(a= \pi_p/2\), then the second Neumann eigenvalue is ...
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A linear algorithm for obtaining the Laplacian eigenvalues of a cograph [PDF]
, 2023 Guantao Chen, Fernando Tura
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Eigenvalues homogenization for the fractional \(p\)-Laplacian
Electronic Journal of Differential Equations, 2016 In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates when periodic weights are considered.
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On Shape Optimization with Large Magnetic Fields in Two Dimensions. [PDF]
J Geom AnalLotoreichik V, Morin L.
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Novel Roman domination-based graph energies for QSPR analysis of neuroprotective herbal compounds in Alzheimer's disease treatment. [PDF]
Front ChemSalini Jancy Rani A, Balamurugan BJ.
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Predictive modeling for physicochemical properties of β-lactam antibiotics through eigenvalue based topological indices and non linear regression techniques. [PDF]
Sci RepYuvaraj A +4 more
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Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds [PDF]
, 2019 Alessandro Savo
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