共查询到20条相似文献,搜索用时 28 毫秒
1.
Michela Eleuteri 《Journal of Mathematical Analysis and Applications》2008,344(2):1120-1142
We prove regularity results for minimizers of functionals in the class , where is a fixed function and f is quasiconvex and fulfills a growth condition of the type
L−1|z|p(x)?f(x,ξ,z)?L(1+|z|p(x)), 相似文献
2.
Consider an operator T:C1(R)→C(R) satisfying the Leibniz rule functional equation
3.
Santiago Cano-Casanova 《Journal of Differential Equations》2008,244(12):3180-3203
This paper shows the existence and the uniqueness of the positive solution ?(t) of the singular boundary value problem
4.
Zhaoxia Liu 《Journal of Mathematical Analysis and Applications》2011,382(2):731-747
In this paper, we consider the elliptic system of two equations in H1(RN)×H1(RN):
5.
Suppose T is a bounded self-adjoint operator on the Hilbert space L2(X,μ) and let
6.
Yasuhito Miyamoto 《Journal of Differential Equations》2010,249(8):1853-1870
Let (n?3) be a ball, and let f∈C3. We are concerned with the Neumann problem
7.
Dug Hun Hong 《Applied mathematics and computation》2010,217(1):437-440
This paper improves on previous work presenting a Hardy-type inequality for Sugeno integrals. Indeed, we show that for (S)∫Df(x)dx?1,
8.
Consider an operator T:C2(R)→C(R) and isotropic maps A1,A2:C1(R)→C(R) such that the functional equation
9.
Shiri Artstein-Avidan Hermann König Vitali Milman 《Journal of Functional Analysis》2010,259(11):2999-1344
We consider operators T from C1(R) to C(R) satisfying the “chain rule”
10.
Let −Dω(·,z)D+q be a differential operator in L2(0,∞) whose leading coefficient contains the eigenvalue parameter z. For the case that ω(·,z) has the particular form
11.
R. Balasubramanian D.J. Prabhakaran 《Journal of Mathematical Analysis and Applications》2007,336(1):542-555
For γ?0 and β<1 given, let Pγ(β) denote the class of all analytic functions f in the unit disk with the normalization f(0)=f′(0)−1=0 and satisfying the condition
12.
Zaihong Wang Jing Xia Dongyun Zheng 《Journal of Mathematical Analysis and Applications》2006,321(1):273-285
In this paper, we deal with the existence of periodic solutions of the second order differential equations x″+g(x)=p(t) with singularity. We prove that the given equation has at least one periodic solution when g(x) has singularity at origin, satisfies
13.
Wojciech Jab?oński 《Journal of Mathematical Analysis and Applications》2007,325(1):675-684
In the paper we examine Pexiderized ?-homogeneity equation almost everywhere. Assume that G and H are groups with zero, (X,G) and (Y,H) are a G- and an H-space, respectively. We prove, under some assumption on (Y,H), that if functions and satisfy Pexiderized ?-homogeneity equation
F1(αx)=?(α)F2(x) 相似文献
14.
In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm-Liouville operator L generated in L2(R+,S) by the differential expression
15.
Let Ω be an open-bounded domain in RN(N?3) with smooth boundary ∂Ω. We are concerned with the multi-singular critical elliptic problem
16.
Matthew Boylan 《Journal of Number Theory》2003,98(2):377-389
Let F(z)=∑n=1∞a(n)qn denote the unique weight 16 normalized cuspidal eigenform on . In the early 1970s, Serre and Swinnerton-Dyer conjectured that
17.
18.
Martin Klazar 《Journal of Number Theory》2007,124(2):470-490
Let m(n) be the number of ordered factorizations of n?1 in factors larger than 1. We prove that for every ε>0
19.
M. Obradovi? 《Journal of Mathematical Analysis and Applications》2007,336(2):758-767
Let U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+a2z2+? satisfying the condition
20.
Kaori Yamazaki 《Topology and its Applications》2007,154(15):2817-2825
We prove that the following statements are equivalent for a space X: (1) X is monotonically countably paracompact; (2) for every metric space Y there exists an operator Φ assigning to each locally bounded mapping , a locally bounded l.s.c. mapping with ?⊂Φ(?) such that Φ(?)⊂Φ(?′) whenever ?⊂?′, where B(Y) is the set of all non-empty closed bounded sets of Y; (3) for every metric space Y, there exist operators Φ and Ψ assigning to each u.s.c. mapping , an l.s.c. mapping and a u.s.c. mapping with ?⊂Φ(?)⊂Ψ(?) such that Φ(?)⊂Φ(?′) and Ψ(?)⊂Ψ(?′) whenever ?⊂?′. 相似文献