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141.
142.
Costin V?lcu 《Mathematische Annalen》2008,340(3):543-567
Various properties are given concerning geodesics on, and distance functions from points in, typical degenerate convex surfaces;
i.e., surfaces obtained by gluing together two isometric copies of typical (in the sense of Baire category) convex bodies,
by identifying the corresponding points of their boundaries. 相似文献
143.
We study a 2-dimensional manifold that admits a homogeneous action of a 3-dimensional Lie group G, and has a 2-form invariant under G. We show that such a manifold can be realized as a surface in the affine 3-space, and list such realizations.
相似文献
144.
Sander R. Dahmen 《Journal of Number Theory》2008,128(6):1864-1873
By an ABC-hit, we mean a triple (a,b,c) of relatively prime positive integers such that a+b=c and rad(abc)<c. Denote by N(X) the number of ABC-hits (a,b,c) with c?X. In this paper we discuss lower bounds for N(X). In particular we prove that for every ?>0 and X large enough N(X)?exp((logX)1/2−?). 相似文献
145.
We continue our previous study of sharp Sobolev-type inequalities by means of optimal transport, started in (Maggi and Villani
J. Geom. Anal. 15(1), 83–121 (2005)). In the present paper, we extend our results in various directions, including Gagliardo–Nirenberg, Faber–Krahn,
logarithmic-Sobolev or Moser–Trudinger inequalities with trace terms. We also identify a class of domains for which there
is no need for a trace term to cast the Sobolev inequality. 相似文献
146.
We prove a theorem for the existence of solutions to a variational problem, under assumptions that do not require the convexity of the integrand. 相似文献
147.
This paper deals with the blow-up of positive solutions for a nonlinear parabolic equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in a finite time, by a new approach. Moreover, upper estimates of the “blow-up time”, blow-up rate and global solutions are obtained also. 相似文献
148.
In this article,the authors obtain an integral representation for the relaxation of the functional
F(x,u,Ω):={∫^f(x,u(x),εu(x))dx Ω if u∈W^1,1(Ω,R^N), +∞ otherwise, in the space of functions of bounded deformation,with respect to L^1-convergence.Here Eu represents the absolutely continuous part of the symmetrized distributional derivative Eu.f(x,p,ξ)satisfying weak convexity assumption. 相似文献
F(x,u,Ω):={∫^f(x,u(x),εu(x))dx Ω if u∈W^1,1(Ω,R^N), +∞ otherwise, in the space of functions of bounded deformation,with respect to L^1-convergence.Here Eu represents the absolutely continuous part of the symmetrized distributional derivative Eu.f(x,p,ξ)satisfying weak convexity assumption. 相似文献
149.
《Selecta Mathematica, New Series》2005,11(3-4):399-451
We verify the conjecture formulated in [36] for suspension singularities of type g(x, y, z)=f(x, y)+zn, where f is an irreducible plane curve singularity. More precisely, we prove that the modified Seiberg–Witten invariant of the link
M of g, associated with the canonical spinc structure, equals −σ(F)/8, where σ(F) is the signature of the Milnor fiber of g. In order to do this, we prove general splicing formulae for the Casson–Walker invariant and for the sign-refined Reidemeister–Turaev
torsion. These provide results for some cyclic covers as well. As a by-product, we compute all the relevant invariants of
M in terms of the Newton pairs of f and the integer n. 相似文献
150.
Michele Carriero Antonio Leaci Franco Tomarelli 《Calculus of Variations and Partial Differential Equations》2008,32(1):81-110
We derive many necessary conditions for minimizers of a functional depending on free discontinuities, free gradient discontinuities
and second derivatives, which is related to image segmentation. 相似文献