Results 11 to 20 of about 24,018,000 (299)

Radial symmetry for a generalized nonlinear fractional p-Laplacian problem [PDF]

open access: yesNonlinear Analysis, 2021
This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou   +3 more
doaj   +2 more sources

The spectrum of the periodic p-Laplacian [PDF]

open access: yesJournal of Differential Equations, 2007
New properties of the spectrum \(\sigma\) are determined for the boundary value problems {\parindent6.5mm \begin{itemize}\item[(i)] \(-\Delta_p u= (\lambda- q(x))|u|^{p-1}\text{sgn\,}u\), \(p> 1\), \(x\in(0,\pi_p)\) with periodic boundary conditions \item[(ii)] \(u(0)= u(\pi_p)\), \(u'(0)= u'(\pi_p)\), \(q(x)\in C^1[0,\pi_p]\), \(\lambda\in \mathbb R\),
Binding, Paul A., Rynne, Bryan P.
openaire   +3 more sources

A strong comparison principle for the $p$-Laplacian [PDF]

open access: yesProceedings of the American Mathematical Society, 2007
Summary: We consider weak solutions of the differential inequality of \(p\)-Laplacian type \[ -\Delta_p u - f(u) \leq - \Delta_p v - f(v) \] such that \(u\leq v\) on a smooth bounded domain in \(\mathbb R^N\) and either \(u\) or \(v\) is a weak solution of the corresponding Dirichlet problem with zero boundary condition.
ROSELLI, PAOLO, Sciunzi, B.
openaire   +5 more sources

P-Laplacian Dirac system on time scales

open access: yesJournal of Taibah University for Science, 2019
The  $ {p} $ -Laplacian type Dirac systems are nonlinear generalizations of the classical Dirac systems. They can be observed as a bridge between nonlinear systems and linear systems.
Tuba Gulsen, Emrah Yilmaz, Meltem Kayali
doaj   +2 more sources

Preserving Motor Features by Alternative Re-Referencing to Remove Heart Artifact on the Stentrode. [PDF]

open access: yesAdv Sci (Weinh)
Endovascular brain‐computer interfaces record neural activity from within cerebrovasculature, at the expense of electrocardiogram contamination. Band‐limited independent component analysis separates this heart‐based artifact from task‐relevant neural activity in each frequency band, enabling the reconstruction of cleaner neural recordings without the ...
Feldman AK   +11 more
europepmc   +2 more sources

Convolution operators and the discrete Laplacian [PDF]

open access: yes, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
core   +4 more sources

Nodal domain count for the generalized graph p-Laplacian [PDF]

open access: yes, 2023
Inspired by the linear Schrödinger operator, we consider a generalized p-Laplacian operator on discrete graphs and present new results that characterize several spectral properties of this operator with particular attention to the nodal domain count of ...
Deidda P., Putti M., Tudisco F.
core   +1 more source

Comparison of Laplacian differential reconstruction of inline holograms recorded at two different wavelengths and distances [PDF]

open access: yes, 2010
Paper presented at Biomedical Optics (BIOMED) Miami, Florida, April 11, 2010We record two holograms using two different illuminating wavelengths. Subtracting these holograms, the resulting reconstruction is an approximation to the second order Laplacian
Dayan Li   +5 more
core   +2 more sources

Eigenvalues homogenization for the fractional p-Laplacian

open access: yesElectronic 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
Ariel Martin Salort
doaj   +3 more sources

Numerical Simulation of Higher-Order Nonlinearity of Human Brain Functional Connectivity Using Hypergraph p-Laplacian

open access: yesMathematics, 2021
Unravelling how the human brain structure gives rise to function is a central question in neuroscience and remains partially answered. Recent studies show that the graph Laplacian of the human brain’s structural connectivity (SC) plays a dominant role in
Jichao Ma   +3 more
doaj   +1 more source

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