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171.
We study the existence of a maximal solution of −Δu+g(u)=f(x) in a domain Ω ∈ ℝ
N
with compact boundary, assuming thatf ∈ (L
loc
1
(Ω))+ and thatg is nondecreasing,g(0)≥0 andg satisfies the Keller-Osserman condition. We show that if the boundary satisfies the classicalC
1,2 Wiener criterion, then the maximal solution is a large solution, i.e., it blows up everywhere on the boundary. In addition,
we discuss the question of uniqueness of large solutions.
This research was partially supported by an EC Grant through the RTN Program “Front-Singularities”, HPRN-CT-2002-00274. 相似文献
172.
173.
Natalya Fridman Moshe Kapon Menahem Kaftory 《Acta Crystallographica. Section C, Structural Chemistry》2004,60(1):o47-o49
5‐Methylsulfanyl‐1H‐tetrazole, C2H4N4S, crystallizes in dimorphic forms; the α‐form crystallizes at room temperature in the monoclinic crystal system, space group P21/m, and the β‐form crystallizes by sublimation at 423 K in the orthorhombic crystal system, space group Pbcm. In both forms, the molecules occupy crystallographic mirror planes and are connected to one another via N—H⋯N hydrogen bonds, the amino H atoms being disordered. The two forms differ from one another in their packing; there are polar layers in the α‐form and non‐polar layers in the β‐form. 相似文献
174.
Moshe Gitterman 《Journal of statistical physics》1996,83(5-6):1261-1262
175.
Israel Gohberg Seymour Goldberg Naum Krupnik 《Integral Equations and Operator Theory》1997,27(1):10-47
A general theory of regularized and Hilbert-Carleman determinants in normed algebras of operators acting in Banach spaces is proposed. In this approach regularized determinants are defined as continuous extensions of the corresponding determinants of finite dimensional operators. We characterize the algebras for which such extensions exist, describe the main properties of the extended determinants, obtain Cramer's rule and the formulas for the resolvent which are expressed via the extended tracestr(A
k
) of iterations and regularized determinants.This paper is a continuation of the paper [GGKr]. 相似文献
176.
Moshe Marcus 《Archive for Rational Mechanics and Analysis》1993,124(1):67-98
Communicated by J. M. Ball 相似文献
177.
178.
Ira B. Goldberg 《Magnetic resonance in chemistry : MRC》1973,5(1):29-31
The anion radical of 1,2-diphenylcyclobutene was studied by electron spin resonance. The hyperfine splittings were found to be 0·47 and 0·74 G for the meta-positions, 2·23 and 2·69 G for the ortho-positions and 4·21 G for the para-positions of the phenyl rings. The methylene proton splittings were 4·27 G, which would imply that the value of Q is 27 G, much lower than that of other cyclobutene anions. It was also estimated that the angle between the axis of the p-orbitals of the ethylene group and that of the phenyl group is about 30°, in agreement with that found for the tetraphenylethylene anion. 相似文献
179.
Michael Goldberg 《Geometriae Dedicata》1982,12(3):297-306
A space-filling polyhedron is one whose replications can be packed to fill three-space completely. The space-filling polyhedra of four to eight faces have been previously reported. The search is here extended to the convex space-fillers of nine faces. The number of types is found to be at least 40. 相似文献
180.
M.B. Goldberg E. Konejung W. Knauer G.J. Kumbartzki P. Meyer K.-H. Speidel J. Gerber 《Physics letters. A》1976,58(4):269-271
PAC measurements on the 4.43 MeV 12C(2+) state on recoil in magnetized iron at velocities υion = 0.058c, 0.071c yield integral nuclear precession angles of Φ = ?0.18 (30), +0.17 (39) mrad respectively. Evidently, the high electron-spin-polarization transfer to the innermost carbon orbits implied by a previous measurement (υion = 0.03c, Φ = +0.85 (14) mrad) is suppressed at higher ion velocities. 相似文献