Results 61 to 70 of about 24,018,000 (299)
On the solvability of Dirichlet problem for the weighted p-Laplacian [PDF]
Opuscula Mathematica, 2012 The paper investigates the existence and uniqueness of weak solutions for a non-linear boundary value problem involving the weighted \(p\)-Laplacian. Our approach is based on variational principles and representation properties of the associated spaces.
Ewa Szlachtowska
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Advanced Science, EarlyView.B cells can be activated independently of antigen recognition via mechanical stimulation through nanoporous substrates. Exposure to such substrates induced B cell microvilli extension into the pores, intracellular Ca2+ signaling, phosphorylation of signaling proteins, and CD69 expression.
Nozie D. Aghaizu +4 more
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On the geometry of the $p$-Laplacian operator
, 2016 15 pages, 5 figures, Survey lecture given at the WIAS conference "Theory and Applications of Partial Differential Equations" in Dec ...
Kawohl, Bernd, Horák, Jiří
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Local ‘Superlinearity’ and ‘Sublinearity’ for the p-Laplacian
Journal of Functional Analysis, 2009 The authors obtain existence and multiplicity results for the parametric Dirichlet problem \(\Delta_p u+f_\lambda (x,u)=0\) set in a bounded domain, both in the subcritical and critical cases. Also, as a by product, some improved strong comparison principles and \(C^{1,\alpha}\) estimates are given.
Gossez, Jean-Pierre +2 more
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Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting
Advanced Science, EarlyView.Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family +3 more
wiley +1 more source
Eigenvalue Bounds for the Signless $p$-Laplacian
The Electronic Journal of Combinatorics, 2018 We consider the signless $p$-Laplacian $Q_p$ of a graph, a generalisation of the quadratic form of the signless Laplacian matrix (the case $p=2$). In analogy to Rayleigh's principle the minimum and maximum of $Q_p$ on the $p$-norm unit sphere are called its smallest and largest eigenvalues, respectively.
Elizandro Max Borba, Uwe Schwerdtfeger
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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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
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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The fractional p-Laplacian on hyperbolic spaces
Mathematics in Engineering, 2023 Abstract Note: Please see pdf for full abstract with equations. We present three equivalent definitions of the fractional p-Laplacian (−ΔHn)sp, 0 < s < 1, p > 1, with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p-Laplacian to the p-Laplacian ...
Kim, Jongmyeong +2 more
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