Results 31 to 40 of about 5,003,645 (342)
On the loss of maximum principles for higher-order fractional Laplacians
Proceedings of the American Mathematical Society, 2018 We study existence and positivity of solutions to problems involving higher-order fractional Laplacians (−∆)s for any s > 1. In particular, using a suitable variational framework and the nonlocal properties of these operators, we provide an explicit ...
Nicola Abatangelo +2 more
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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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Uniform Anti-maximum Principles
Journal of Differential Equations, 2000 This paper is concerned with some uniform anti-maximum principles for classes of higher-order elliptic boundary values problems \({\mathcal A}u=\lambda u+f\) in \(\Omega\) with homogeneous boundary conditions \({\mathcal B}u= 0\) on \(\partial\Omega\), where \(\Omega\) is a bounded domain in \(\mathbb{R}^n\).
Clément, Ph, Sweers, G
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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Bone tumours present significant challenges for affected patients, as multimodal therapy often leads to prolonged physical limitations. This is particularly critical during childhood and adolescence, as it can negatively impact physiological development and psychosocial resilience.
Jennifer Queisser +5 more
wiley +1 more source
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
wiley +1 more source
FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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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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The strong maximum principle revisited
Journal of Differential Equations, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PUCCI, Patrizia, J. SERRIN
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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
semanticscholar +1 more source