共查询到20条相似文献,搜索用时 869 毫秒
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Let 1<p?2 and q be such that . It is well known that the norm of the Lp-Fourier transform of the additive group is , where . For a nilpotent Lie group G, we obtain the estimate , where m is the maximal dimension of the coadjoint orbits. Such a result was known only for some particular cases. 相似文献
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Taekyun Kim 《Journal of Mathematical Analysis and Applications》2007,329(2):1472-1481
In this paper, we give an explicit p-adic expansion of
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A.Yu. Khrennikov 《Journal of Mathematical Analysis and Applications》2009,350(1):170-183
We study the asymptotical behavior of the p-adic singular Fourier integrals
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Volker G. Jakubowski 《Journal of Differential Equations》2004,197(2):427-445
We generalize the concept of entropy solutions for parabolic equations with L1-data and consider a class of nonlinear history-dependent degenerated elliptic-parabolic equations including problems with a fractional time derivative such as with Dirichlet boundary conditions and initial condition, where 0<γ?1. We show uniqueness of entropy solutions for general L1-data by Kruzhkov's method of doubling variables. Moreover, existence in the nondegenerated case, i.e. b≡id, is shown by using the concept of generalized solutions of a corresponding abstract Volterra equation. 相似文献
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This paper studies the eigenvalues of the p(x)-Laplacian Dirichlet problem
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The L resolvents of second-order elliptic operators of divergence form under the Dirichlet condition
Yoichi Miyazaki 《Journal of Differential Equations》2004,206(2):353-372
Let A be the 2mth-order elliptic operator of divergence form with bounded measurable coefficients defined in a domain Ω of . For 1<p<∞ we regard A as a bounded linear operator from the Lp Sobolev space to H−m,p(Ω). It is known that when , we can construct the resolvent (A−λ)−1 and estimate its operator norm for some λ if the leading coefficients are uniformly continuous. In this paper, we try to extend this result to a general domain. It is successful when m=1 if Ω is the half-space or a domain with C2 bounded boundary. For m>1 it is shown that the problem is reduced to the case where Ω is the half-space and A is a homogeneous operator with constant coefficients. We also give a perturbation theorem. 相似文献
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In this paper we deal with multiplicity of positive solutions to the p-Laplacian equation of the type
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Let A,B:(0,∞)?(0,∞) be two given weight functions and consider the equation
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Georges Gras 《Journal of Number Theory》2009,129(11):2843-2852
Let K be a number field, p a prime, and let be the T-ramified, S-split p-class field tower of K, i.e., the maximal pro-p-extension of K unramified outside T and totally split on S, where T and S are disjoint finite sets of places of K. Using a theorem of Tate on nilpotent quotient groups, we give (Theorem 2 in Section 3) an elementary characterisation of the finite extensions L/K, with a normal closure of degree prime to p, such that the analogous p-class field tower of L is equal to the compositum . This N.S.C. only depends on classes and units of L. Some applications and examples are given. 相似文献
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We prove the existence of four solutions for the p-Laplacian equation
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Dong Joo Moon Seoung Dal Jung 《Journal of Mathematical Analysis and Applications》2008,342(1):354-360
Let M be a complete Riemannian manifold and let N be a Riemannian manifold of non-positive sectional curvature. Assume that at all x∈M and at some point x0∈M, where μ0>0 is the least eigenvalue of the Laplacian acting on L2-functions on M. Let 2?q?p. Then any q-harmonic map of finite q-energy is constant. Moreover, if N is a Riemannian manifold of non-positive scalar curvature, then any q-harmonic morphism of finite q-energy is constant. 相似文献
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In this paper we consider the multipoint boundary value problem for one-dimensional p-Laplacian