共查询到20条相似文献,搜索用时 31 毫秒
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Guang-Xin Huang Feng Yin Ke Guo 《Journal of Computational and Applied Mathematics》2008,217(1):259-267
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João Marcos do Ó Manassés de SouzaEveraldo de Medeiros Uberlandio Severo 《Journal of Differential Equations》2014
In line with the Concentration–Compactness Principle due to P.-L. Lions [19], we study the lack of compactness of Sobolev embedding of W1,n(Rn), n?2, into the Orlicz space LΦα determined by the Young function Φα(s) behaving like eα|s|n/(n−1)−1 as |s|→+∞. In the light of this result we also study existence of ground state solutions for a class of quasilinear elliptic problems involving critical growth of the Trudinger–Moser type in the whole space Rn. 相似文献
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Let A and B be commutative rings with identity, f:A→B a ring homomorphism and J an ideal of B . Then the subring A?fJ:={(a,f(a)+j)|a∈A and j∈J} of A×B is called the amalgamation of A with B along with J with respect to f. In this paper, we investigate a general concept of the Noetherian property, called the S -Noetherian property which was introduced by Anderson and Dumitrescu, on the ring A?fJ for a multiplicative subset S of A?fJ. As particular cases of the amalgamation, we also devote to study the transfers of the S -Noetherian property to the constructions D+(X1,…,Xn)E[X1,…,Xn] and D+(X1,…,Xn)E?X1,…,Xn? and Nagata?s idealization. 相似文献
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Given a metric continuum X, we consider the following hyperspaces of X : 2X, Cn(X) and Fn(X) (n∈N). Let F1(X)={{x}:x∈X}. A hyperspace K(X) of X is said to be rigid provided that for every homeomorphism h:K(X)→K(X) we have that h(F1(X))=F1(X). In this paper we study under which conditions a continuum X has a rigid hyperspace Fn(X). 相似文献
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For a locally compact group G and 1<p<∞ let Ap(G) be the Figà-Talamanca–Herz algebras, which include in particular the Fourier algebra of G , A(G) (p=2). It is shown that for any amenable group H , a proper affine map α:Y⊂H→G induces a p -completely contractive algebra homomorphism ?α:Ap(G)→Ap(H) by setting ?α(u)=u°α on Y and ?α(u)=0 off of Y. Moreover, we show that if both G and H are amenable then any p -completely contractive algebra homomorphism ?:Ap(G)→Ap(H) is of this form. These results are the analogs in the context of the Figà-Talamanca–Herz algebras of the ones in the Fourier algebra setting (p=2) initiated by the author and continued with N. Spronk, which in turn generalize results of P.J. Cohen and B. Host from abelian group algebra setting. 相似文献
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Let H:Cn→Cn be a polynomial map, JH the Jacobian matrix of H , and VH the linear subspace of Mn(C) spanned by {JH(α)|α∈Cn}, the set of evaluated Jacobian matrices of H . We describe the dimension of VH through a power-linear Gorni–Zampieri mate of H, and give a numerical algorithm for computing this dimension and determining whether JH is additive-nilpotent, i.e., whether VH is a nilpotent subspace. 相似文献
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M. Gürdal 《Expositiones Mathematicae》2009,27(2):153-160
In the present paper we consider the Volterra integration operator V on the Wiener algebra W(D) of analytic functions on the unit disc D of the complex plane C. A complex number λ is called an extended eigenvalue of V if there exists a nonzero operator A satisfying the equation AV=λVA. We prove that the set of all extended eigenvalues of V is precisely the set C?{0}, and describe in terms of Duhamel operators and composition operators the set of corresponding extended eigenvectors of V. The similar result for some weighted shift operator on ?p spaces is also obtained. 相似文献
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Let S be an n-by-n cyclic weighted shift matrix, and FS(t,x,y)=det(tI+xℜ(S)+yℑ(S)) be a ternary form associated with S . We investigate the number of singular points of the curve FS(t,x,y)=0, and show that the number of singular points of FS(t,x,y)=0 associated with a cyclic weighted shift matrix whose weights are neither 1-periodic nor 2-periodic is less than or equal to n(n−3)/2. Furthermore, we verify the upper bound n(n−3)/2 is sharp for 4?n?7. 相似文献
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Let D be a Dedekind domain with fraction field k. Let A be a D-algebra that, as a D-module, is free of finite rank. Let B be the extension of A to a k-algebra. The set of integer-valued polynomials over A is defined to be Int(A)={f∈B[x]|f(A)⊆A}. Restricting the coefficients to elements of k , we obtain the commutative ring Intk(A)={f∈k[x]|f(A)⊆A}; this makes Int(A) a left Intk(A)-module. Previous researchers have noted instances when a D-module basis for A is also an Intk(A)-basis for Int(A). We classify all the D-algebras A with this property. Along the way, we prove results regarding Int(A), its localizations at primes of D, and finite residue rings of A. 相似文献
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