Results 41 to 50 of about 35,592 (307)
The wave equation for the $p$-Laplacian [PDF]
Hokkaido Mathematical Journal, 2007 We consider generalized wave equations for the $p$--Laplacian and prove the local in time existence of solutions to the Cauchy problem. We give an estimate of the life-span of the solution, and show by a generic counter-example that global in time solutions can not be expected.
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The dual eigenvalue problems for p-Laplacian [PDF]
Acta Mathematica Hungarica, 2013 19 ...
Yan-Hsiou Cheng +2 more
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Multiple Solutions for Partial Discrete Dirichlet Problems Involving the p-Laplacian
Mathematics, 2020 Due to the applications in many fields, there is great interest in studying partial difference equations involving functions with two or more discrete variables.
Sijia Du, Zhan Zhou
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A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]
, 2016 We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
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Advanced Engineering Materials, EarlyView.This study reveals how wave propagation in FG‐MEE nanoplates can be tuned via material gradients, porosity, and external fields. Using NSGT and Hamilton's principle, analytical solutions capture key dispersion behaviors. Findings highlight the potential of smart nanoplates for adaptive control in high‐performance applications like sonar and aerospace ...
Mustafa Buğday, Ismail Esen
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Zwitterionic Heavier Pnictinidenes in Redox Catalysis
Angewandte Chemie, EarlyView.Zwitterionic pnictinidenes: A new class of zwitterionic heavier pnictogen species stabilized by bis(N‐heterocyclic carbene)borate ligands is reported, enabling the isolation of Sb and Bi in multiple oxidation states. These thoroughly characterized systems exhibit cationic character and engage in redox catalysis, facilitating catalytic ...
Selwin Fernando +7 more
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Weak solutions for p-Laplacian equation
Advances in Nonlinear Analysis, 2012 In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
Bhuvaneswari Venkatasubramaniam +2 more
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Experimental and Theoretical Confirmation of Covalent Bonding in α‐Pu
Advanced Functional Materials, EarlyView.From a combination of Reverse Monte Carlo dynamic rigid body fitting to the pair distribution functional and novel density functional approaches, the existence of covalent bonding is confirmed in α‐plutonium alongside other bonding types (i.e. mixed bonding schemes).
Alexander R. Muñoz +10 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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Local ‘Superlinearity’ and ‘Sublinearity’ for the p-Laplacian
Journal of Functional Analysis, 2009 AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of problems −Δpu=fλ(x,u), u∈W01,p(Ω), where Ω is a bounded domain in RN, N>p, and λ>0 is a parameter. The family we consider includes the well-known nonlinearities of Ambrosetti–Brezis–Cerami type in a more general form, namely λa(x)uq+b(x)ur, where 0 ...
Gossez, Jean-Pierre +2 more
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