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Isolated singularities of polyharmonic inequalities 总被引:1,自引:0,他引:1
Marius Ghergu Amir Moradifam Steven D. Taliaferro 《Journal of Functional Analysis》2011,261(3):660-680
We study nonnegative classical solutions u of the polyharmonic inequality
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Steven D. Taliaferro Lei Zhang 《Proceedings of the American Mathematical Society》2003,131(9):2895-2902
We study the conformal scalar curvature problem
where is a continuous function. We show that a necessary and sufficient condition on for this problem to have positive solutions which are arbitrarily large at is that be less than 1 on a sequence of points in which tends to .
where is a continuous function. We show that a necessary and sufficient condition on for this problem to have positive solutions which are arbitrarily large at is that be less than 1 on a sequence of points in which tends to .
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Steven D. Taliaferro 《Archive for Rational Mechanics and Analysis》1990,109(2):183-194
Communicated by P. J. Holmes 相似文献
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Steven D Taliaferro 《Journal of Functional Analysis》1981,44(1):24-49
Let X and Y be real Banach spaces and G:X × be a twice continuously differentiate function which is not necessarily linear. Suppose G(u0, α0) = 0 and the dimension of the null space of Gu(u0, α0) is m, where 1 ? m < ∞. Usually, S = {(u, α):G(u, α) = 0}, in a neighborhood of (u0, α0), consists of a finite number of curves emanating from (u0, α0). We will determine the stability of points, (u, α), in S (i.e., the maximum of the real parts of the spectrum of Gu(u, α) for each (u, α) ∈ S) using a general perturbation theorem of Kato. Our results contain as a special case the stability theorems of Crandall and Rabinowitz for the case m = 1. We will also tie our stability theorems together with some bifurcation results of Decker and Keller. Finally we apply our results to systems of reaction diffusion equations. 相似文献
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A diffusion flame burns with varying intensity if the pressure is varied, and the nonlinear steady-state response is typically S-shaped; that is, multiple solutions exist for some range of pressure. The physically relevant branch can only be determined by unsteady analyses, and in this paper we discuss the stability of a large class of diffusion flames when the activation energy characterizing the reaction rate is large. Specifically, we examine the evolution from the stationary solution on a time scale so short that changes are confined to the thin flame sheet where all the reaction occurs. In this region time derivatives are added to the steady state equations, which otherwise describe a balance between diffusion and chemical reaction. The stability problem is then reduced to the determination of the spectrum of Schrödinger's equation, defined on the infinite interval, with a potential that is not of one sign on this interval. In this way certain conclusions about extinction are drawn and certain past misconceptions are clarified. 相似文献
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CM Silva MF Duarte ML Mira MH Florêncio K Versluis AJ Heck 《Rapid communications in mass spectrometry : RCM》1999,13(12):1098-1103
Fast atom bombardment, combined with high-energy collision-induced tandem mass spectrometry, has been used to investigate gas-phase metal-ion interactions with captopril, enalaprilat and lisinopril, all angiotensin-converting enzyme inhibitors.Suggestions for the location of metal-binding sites are presented. For captopril, metal binding occurs most likely at both the sulphur and the nitrogen atom. For enalaprilat and lisinopril, binding preferably occurs at the amine nitrogen. Copyright 1999 John Wiley & Sons, Ltd. 相似文献
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Catarina IV Ramos Flávio Figueira Marcelo D Polêto Francisco ML Amado Hugo Verli João PC Tomé M Graça PMS Neves 《Journal of mass spectrometry : JMS》2016,51(5):342-349
Electrospray mass spectrometry/mass spectrometry was used to investigate the gas‐phase properties of protonated expanded porphyrins, in order to correlate those with their structure and conformation. We have selected five expanded meso‐pentafluorophenyl porphyrins, respectively, a pair of oxidized/reduced fused pentaphyrins (22 and 24 π electrons), a pair of oxidized/reduced regular hexaphyrins (26 and 28 π electrons) and a regular doubly N‐fused hexaphyrin (28 π electrons). The gas‐phase behavior of the protonated species of oxidized and reduced expanded porphyrins is different. The oxidized species (aromatic Hückel systems) fragment more extensively, mainly by the loss of two HF molecules. The reduced species (Möbius aromatic or Möbius‐like aromatic systems) fragment less than their oxidized counterparts because of their increased flexibility. The protonated regular doubly fused hexaphyrin (non‐aromatic Hückel system) shows the least fragmentation even at higher collision energies. In general, cyclization through losses of HF molecules decreases from the aromatic Hückel systems to Möbius aromatic or Möbius‐like aromatic systems to non‐aromatic Hückel systems and is related to an increase in conformational distortion. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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P. Hagedorn S. Taliaferro 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1986,37(1):134-149
In this paper, several general properties are proved for the dynamic receptance, stiffness, and impedance matrices of linear mechanical systems. First, undamped systems are considered and Foster's theorem, which is well known in network theory, is generalized; its new, generalized form seems to be unknown also in network theory. Two additional theorems are also proved for damped systems, the second one for a special case of modal damping. The results are illustrated by several examples.
This joint work was done in Darmstadt, where the second author held a Research Fellowship granted by the Alexander von Humboldt-Foundation. 相似文献
Zusammenfassung In dieser Arbeit werden verschiedene allgemeine Eigenschaften der dynamischen Rezeptanz-, Steifigkeits- und Impedanzmatrizen linearer mechanischer Systeme bewiesen. Zunächst wird für ungedämpfte Systeme der aus der Netzwerktheorie bekannte Satz von Foster verallgemeinert; die neue, verallgemeinerte Form dieses Satzes scheint auch in der Netzwerktheorie bisher nicht bekannt zu sein. Zwei zusätzliche Sätze werden für gedämpfte Systeme bewiesen, wobei bei dem zweiten Satz ein Sonderfall modaler Dämpfung vorliegt. Die Ergebnisse werden anhand verschiedener Beispiele erläutert.
This joint work was done in Darmstadt, where the second author held a Research Fellowship granted by the Alexander von Humboldt-Foundation. 相似文献