共查询到20条相似文献,搜索用时 500 毫秒
1.
Volker Ziegler 《Journal of Number Theory》2006,120(2):303-325
We consider the relative Thue inequalities
|X4−t2X2Y2+s2Y4|?2|t|−2|s|−2, 相似文献
2.
Songzhe Lian Chunling Cao Hongjun Yuan 《Journal of Mathematical Analysis and Applications》2008,342(1):27-38
The authors of this paper study the Dirichlet problem of the following equation
ut−div(|u|ν(x,t)∇u)=f−|u|p(x,t)−1u. 相似文献
3.
This paper is concerned with the standing wave for a class of nonlinear Schrödinger equations
iφt+Δφ−2|x|φ+μ|φ|p−1φ+γ|φ|q−1φ=0, 相似文献
4.
Vladimir Nikiforov 《Journal of Mathematical Analysis and Applications》2008,337(1):739-743
Let A be an n×n complex matrix and r be the maximum size of its principal submatrices with no off-diagonal zero entries. Suppose A has zero main diagonal and x is a unit n-vector. Then, letting ‖A‖ be the Frobenius norm of A, we show that
|〈Ax,x〉|2?(1−1/2r−1/2n)‖A‖2. 相似文献
5.
This paper studies the scattering matrix S(E;?) of the problem
−?2ψ″(x)+V(x)ψ(x)=Eψ(x) 相似文献
6.
Haifeng Shang 《Journal of Mathematical Analysis and Applications》2011,378(2):578-591
The Cauchy problem for a singular parabolic equation with gradient term of the form
ut−div(|Du|p−2Du)=|Duqσ| 相似文献
7.
In this paper, we investigate the behavior of the positive solution of the following Cauchy problem
ut−div(|∇um|p−2∇um)=uq 相似文献
8.
Y.O. Hamidoune 《Journal of Combinatorial Theory, Series A》2010,117(7):974-980
Let Γ=(V,E) be a reflexive relation with a transitive automorphism group. Let F be a finite subset of V containing a fixed element v. We prove that the size of Γ(F) (the image of F) is at least
|F|+|Γ(v)|−|Γ−(v)∩F|. 相似文献
9.
Yong Zhou 《Journal of Mathematical Analysis and Applications》2005,303(2):365-375
New oscillation and nonoscillation theorems are obtained for the second order quasilinear difference equation
Δ(|Δxn−1|ρ−1Δxn−1)+pn|xn|ρ−1xn=0, 相似文献
10.
In this paper, one-dimensional (1D) nonlinear Schrödinger equation
iut−uxx+mu+4|u|u=0 相似文献
11.
Xinping Wang 《Journal of Mathematical Analysis and Applications》2011,378(1):76-88
In this paper, we are concerned with the sublinear reversible systems with a nonlinear damping and periodic forcing term
x″+f(x)g(x′)+γ|x|α−1x=p(t), 相似文献
12.
We consider, for p∈(1,2) and q>1, self-similar singular solutions of the equation vt=div(|∇v|p−2∇v)−vq in Rn×(0,∞); here by self-similar we mean that v takes the form v(x,t)=t−αw(|x|t−αβ) for α=1/(q−1) and β=(q+1−p)/p, whereas singular means that v is non-negative, non-trivial, and for all x≠0. That is, we consider the ODE problem
(0.1) 相似文献
13.
Bo Liang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(11):3815-3828
The paper first study the steady-state thin film type equation
∇⋅(un|∇Δu|q−2∇Δu)−δumΔu=f(x,u) 相似文献
14.
Justyna Jarczyk 《Journal of Mathematical Analysis and Applications》2009,353(1):134-96
Let I⊂R be a non-trivial interval and let . We present some results concerning the following functional equation, generalizing the Matkowski-Sutô equation,
λ(x,y)φ−1(μ(x,y)φ(x)+(1−μ(x,y))φ(y))+(1−λ(x,y))ψ−1(ν(x,y)ψ(x)+(1−ν(x,y))ψ(y))=λ(x,y)x+(1−λ(x,y))y, 相似文献
15.
Pingzhi Yuan 《Journal of Number Theory》2003,102(1):1-10
Using hypergeometric functions and the Thue-Siegel method we give an effective improvement of Liouville's approximation theorem. As an application, we derive effective upper bounds for the solutions (X,Y) of the two-parametric family of quartic Thue inequalities
|BX4−AX3Y−6BX2Y2+AXY3+BY4|?N 相似文献
16.
In this paper, we characterize the eigenvalues and show existence of positive solutions to discrete boundary value problem (here ?(s)=|s|p−2s, p>1 and λ>0 is a parameter)
17.
Petr Honzík 《Journal of Geometric Analysis》2010,20(1):153-167
Suppose that an even integrable function Ω on the unit sphere S 1 in R 2 with mean value zero satisfies then the singular integral operator T Ω given by convolution with the distribution p.v.?Ω(x/|x|)|x|?2, initially defined on Schwartz functions, extends to an L 2-bounded operator. We construct examples of a function Ω satisfying the above conditions and of a continuous bounded integrable function f such that
相似文献
$\mathop{\mathrm{essup}}\limits_{\xi\in \mathbf{S}^{1}}\biggl|\int_{\mathbf{S}^{1}}\Omega(\theta)\log\frac{1}{|\theta\cdot\xi|}\,d\theta\biggr|<+\infty,$
$\limsup_{\epsilon\to 0^+}\biggl|\int_{\epsilon<|y|}\Omega(y/|y|)|y|^{-2}f(x-y)dy\biggr|=\infty\quad \hbox{a. e.}$
18.
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
19.
In this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λl|Du| in RN with p>2. We first prove that for 1?l?p−1, the solution exists at least for a short time; then for , the existence and nonexistence of global (in time) solutions are studied in various situations. 相似文献
20.
Marco Cappiello 《Journal of Functional Analysis》2006,237(2):634-654
We show that all eigenfunctions of linear partial differential operators in Rn with polynomial coefficients of Shubin type are extended to entire functions in Cn of finite exponential type 2 and decay like exp(−2|z|) for |z|→∞ in conic neighbourhoods of the form |Imz|?γ|Rez|. We also show that under semilinear polynomial perturbations all nonzero homoclinics keep the super-exponential decay of the above type, whereas a loss of the holomorphicity occurs, namely we show holomorphic extension into a strip {z∈Cn||Imz|?T} for some T>0. The proofs are based on geometrical and perturbative methods in Gelfand-Shilov spaces. The results apply in particular to semilinear Schrödinger equations of the form
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