Results 71 to 80 of about 19,135,649 (331)
The fundamental solution of the fractional p-laplacian [PDF]
arXiv, 2023 In this article, we find the fundamental solution of the fractional p-laplacian and use them to prove two different Liouville-type theorems. A non-existence classical Liouville-type theorem for p-superharmonic and a Louville type results for an Emden-Folder type equation with the fractional p-laplacian.
arxiv
Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]
, 2006 We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Aizicovici, Sergiu +2 more
core +1 more source
Four-parameter bifurcation for a p-Laplacian system
Electronic Journal of Differential Equations, 2001 We study a four-parameter bifurcation phenomenum arising in a system involving $p$-Laplacians: $$displaylines{ -Delta_p u = a phi_p(u)+ b phi_p(v) + f(a , phi_p (u), phi_p (v)) ,cr -Delta_p v = c phi_p(u) + d phi{p}(v)) + g(d , phi_p (u), phi_p (v)), }$$
Jacqueline Fleckinger +2 more
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Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian
Nonlinear Analysis, 2015 In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
doaj +1 more source
CeiTEA: Adaptive Hierarchy of Single Cells with Topological Entropy
Advanced Science, EarlyView.CeiTEA, a novel hierarchical clustering algorithm based on topological entropy, effectively captures complex structures underlying data. By constructing an adaptive multi‐nary partition tree, CeiTEA reveals hierarchical structures and local diversifications, outperforming existing methods in clustering accuracy and consistency and providing the ...
Bowen Tan +3 more
wiley +1 more source
P-Laplacian Dirac system on time scales
Journal 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 +1 more source
Homoclinic solutions of discrete p-Laplacian equations containing both advance and retardation
Electronic Research Archive, 2022 We consider a 2mth-order nonlinear p-Laplacian difference equation containing both advance and retardation. Using the critical point theory, we establish some new and weaker criteria on the existence of homoclinic solutions with mixed nonlinearities.
Peng Mei , Zhan Zhou, Yuming Chen
doaj +1 more source
Multistable Physical Neural Networks
Advanced Intelligent Systems, EarlyView.This article presents the integration of mechanical bistability into physical neural networks (PNNs), enabling memory retention and bridging computation with physical action. By mapping the equilibrium states of bistable, liquid‐filled chambers, it explores stability and introduces global and local training algorithms.
Ben‐Haim Eran +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView., 2022 This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley +1 more source
Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores
Electronic Journal of Differential Equations, 2004 In this work we study the problem $$ -mathop{ m div}(| abla u|^{p-2} abla u)=lambda f(u) $$ in the unit ball of $mathbb{R}^N$, with $u=0$ on the boundary, where $p>2$, and $lambda$ is a real parameter. We assume that the nonlinearity $f$ has a zero $
Jorge Garcia-Melian
doaj