Results 41 to 50 of about 27,734 (203)

Weyl-type laws for fractional p-eigenvalue problems

, 2014
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
core   +1 more source

Lipschitz Regularity of Fractional p-Laplacian

Annals of PDE
31 pages, 1 ...
Biswas, Anup, Topp, Erwin
openaire   +2 more sources

Stability of variational eigenvalues for the fractional $p-$Laplacian [PDF]

Discrete and Continuous Dynamical Systems, 2015
35 pages.
BRASCO, Lorenzo, Parini, Enea, Squassina, Marco   +2 more
openaire   +3 more sources

A Hopf lemma and regularity for fractional $ p $-Laplacians

Discrete & Continuous Dynamical Systems - A, 2020
In this paper, we study qualitative properties of the fractional $p$-Laplacian. Specifically, we establish a Hopf type lemma for positive weak super-solutions of the fractional $p-$Laplacian equation with Dirichlet condition. Moreover, an optimal condition is obtained to ensure $(-\triangle)_p^s u\in C^1(\mathbb{R}^n)$ for smooth functions $u$.
Chen, Wenxiong, Li, Congming, Qi, Shijie
openaire   +4 more sources

On fractional p-Laplacian parabolic problem with general data [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2017
In this article the problem to be studied is the following $$ (P) \left\{ \begin{array}{rcll} u_t+(-\D^s_{p}) u & = & f(x,t) & \text{ in } _{T}\equiv \times (0,T), \\ u & = & 0 & \text{ in }(\ren\setminus ) \times (0,T), \\ u & \ge & 0 & \text{ in }\ren \times (0,T),\\ u(x,0) & = & u_0(x) & \mbox{ in
B. Abdellaoui, A. Attar, R. Bentifour, I. Peral   +3 more
openaire   +3 more sources

Structural Eigenmodes of the Brain to Improve the Source Localization of EEG: Application to Epileptiform Activity

Advanced Science, EarlyView.
Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu, Philippa J. Karoly, Sina Mansour L., Artemio Soto‐Breceda, Levin Kuhlmann, Mark J. Cook, David B. Grayden   +6 more
wiley   +1 more source

Fine boundary regularity for the degenerate fractional p-Laplacian

Journal of Functional Analysis, 2020
38 pages, 3 ...
Antonio Iannizzotto, Sunra Mosconi, Marco Squassina   +2 more
openaire   +2 more sources

ECM‐Stiffness Mediated Persistent Fibroblast Activation Requires Integrin and Formin Dependent Chromatin Remodeling

Advanced Science, EarlyView.
Prolonged exposure to stiff extracellular matrix drives cancer‐associated fibroblasts into a persistently activated myofibroblast state. Two parallel pathways are identified: β1 integrin activation smoothens the nuclear lamina to reduce lamin–chromatin contacts, while the formin mDia2 regulates nuclear actin to alter chromatin organization.
Swathi Packirisamy, Oscar André, Zhimeng Fan, Pontus Nordenfelt, Vinay S Swaminathan   +4 more
wiley   +1 more source

Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents

Journal of Function Spaces, 2021
In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied.
Yating Guo, Guoju Ye
doaj   +1 more source

INB3P: A Multi‐Modal and Interpretable Co‐Attention Framework Integrating Property‐Aware Explanations and Memory‐Bank Contrastive Fusion for Blood–Brain Barrier Penetrating Peptide Discovery

Advanced Science, EarlyView.
INB3P is a multimodal framework for blood–brain barrier‐penetrating peptide prediction under extreme data scarcity and class imbalance. By combining physicochemical‐guided augmentation, sequence–structure co‐attention, and imbalance‐aware optimization, it improves predictive performance and interpretability.
Jingwei Lv, Qianyang Wu, Jian Liu, Binlu Yang, Yuanhao Li, Junlin Xu, Yajie Meng, Leyi Wei, Zilong Zhang, Quan Zou, Xiulai Li, Feifei Cui   +11 more
wiley   +1 more source