Results 31 to 40 of about 4,818,273 (341)
Maximum Principles and Aleksandrov-Bakelman-Pucci Type Estimates for NonLocal Schrödinger Equations with Exterior Conditions [PDF]
SIAM Journal on Mathematical Analysis, 2017 We consider Dirichlet exterior value problems related to a class of non-local Schr\"odinger operators, whose kinetic terms are given in terms of Bernstein functions of the Laplacian.
A. Biswas, J. Lörinczi
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Maximum principles in symplectic homology [PDF]
Israel Journal of Mathematics, 2017 In the setting of symplectic manifolds which are convex at infinity, we use a version of the Aleksandrov maximum principle to derive uniform estimates for Floer solutions that are valid for a wider class of Hamiltonians and almost complex structures than
W. Merry, I. Uljarević
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Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2016 We present some comparison results for solutions to certain non-local elliptic and parabolic problems that involve the fractional Laplacian operator and mixed boundary conditions, given by a zero Dirichlet datum on part of the complementary of the domain
B. Barrios, María Medina
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A Liouville type theorem for a class of anisotropic equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we are dealing with entire solutions of a general class of anisotropic equations. Under some appropriate conditions on the data, we show that the corresponding equations cannot have non-trivial positive solutions bounded from above.
Barbu Luminiţa, Enache Cristian
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The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle [PDF]
Systems & Control Letters, 2008 We give a simple proof of the Maximum Principle for smooth hybrid control systems by reducing the hybrid problem to an optimal control problem of Pontryagin type and then by using the classical Pontryagin Maximum Principle.
A.M. Kaganovich, Andrei Dmitruk
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On mesh restrictions to satisfy comparison principles, maximum principles, and the non-negative constraint: Recent developments and new results [PDF]
arXiv.org, 2015 This article concerns mesh restrictions that are needed to satisfy several important mathematical properties—maximum principles, comparison principles, and the nonnegative constraint—for a general linear second-order elliptic partial differential ...
M. Mudunuru, K. Nakshatrala
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Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
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Disruption of SETD3‐mediated histidine‐73 methylation by the BWCFF‐associated β‐actin G74S mutation
FEBS Letters, EarlyView.The β‐actin G74S mutation causes altered interaction of actin with SETD3, reducing histidine‐73 methylation efficiency and forming two distinct actin variants. The variable ratio of these variants across cell types and developmental stages contributes to tissue‐specific phenotypical changes. This imbalance may impair actin dynamics and mechanosensitive
Anja Marquardt +8 more
wiley +1 more source
Remarks relevant to classical maximum principles
Journal of Applied Mathematics, 2005 We extend, sharpen, or give independent proofs of classical maximum principles. We also concentrate on maximum principles for equations of higher order. All proofs (except for one) are derived via comparison principles.
Cristian-Paul Danet
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Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
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