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Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator [PDF]
Mathematica Bohemica, 2015 Summary: We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet \(p\)-Laplacian and the Navier \(p\)-biharmonic operator on a ball of radius \(R\) in \(\mathbb{R}^N\) and its asymptotics for \(p\) approaching 1 and \(\infty\). Let \(p\) tend to \(\infty\).
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Electronic Journal of Differential Equations, 2006 We study the existence of positive solutions for the nonlinear four-point singular boundary-value problem with $p$-Laplacian operator on time scales.
Hua Su, Baohe Wang, Zhongli Wei
doaj
Boundary Value Problems, 2022 We study the existence and multiplicity of weak solutions for an elliptic problem involving p ( x ) $p(x)$ -Laplacian operator under Steklov boundary condition. The approach is based on variational methods.
A. Khaleghi, A. Razani
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Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales
Advances in Difference Equations, 2009 We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a p-Laplacian operator on time scales.
S. Gulsan Topal +2 more
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Higher-Order Dynamic Delay Differential Equations on Time Scales
Journal of Applied Mathematics, 2012 We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions.
Hua Su, Lishan Liu, Xinjun Wang
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Existence of three solutions for two quasilinear Laplacian systems on graphs
Demonstratio MathematicaWe deal with the existence of three distinct solutions for a poly-Laplacian system with a parameter on finite graphs and a (p,q)\left(p,q)-Laplacian system with a parameter on locally finite graphs. The main tool is an abstract critical point theorem in [
Pang Yan, Zhang Xingyong
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Global solutions for a nonlinear wave equation with the p-laplacian operator
Electronic Journal of Qualitative Theory of Differential Equations, 1999 The authors investigate the initial-boundary value problem for the nonlinear wave equation: \[ u_{tt}- \Delta_pu+ (-\Delta)^\alpha u_t+ g(x,u)= f(t,x)\quad\text{in }(0,T)\times \Omega, \] \[ u= 0\quad\text{on }(0,T)\times \partial\Omega, \] \[ u(0,x)= u_0\quad\text{and }u_t(0,x)= u_1\quad\text{in }\Omega, \] where \(0< \alpha\leq 1\), \(p\geq 1\) and \(
Gao, Hongjun, Ma, T.F.
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On structural controllability in complex networks with periodic switching topologies
Asian Journal of Control, EarlyView.Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou +3 more
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Solvability of fractional boundary value problems with p-Laplacian operator [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic behavior of cooperative systems involving p-Laplacian operators
Electronic Journal of Differential Equations, 2022 This work is devoted to the analysis of the asymptotic behavior of a parameter dependent quasilinear cooperative eigenvalue system when a parameter in front of some non-negative potentials approaches infinity. In particular we consider operators of p-Laplacian type.
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