Recent observation shows that general relativity (GR) is not valid in the strong regime. $\mathit{f(R)}$ gravity where $\mathit{R}$ is the Ricci scalar, is regarded to be one of good candidates able to cure the anomalies appeared in the conventional general relativity. In this realm,...
The authors prove that there exists at least one nontrivial solution for the following semilinear elliptic problem with Dirichlet boundary: -Δu=λ k u+f(x,u)inΩ,u| Ω =0 under some further conditions on f, such as, a(x),b(x)∈L ∞ (Ω) such that, for α∈(0,1), 0≤a(...
FGHIJ KLMNO PQRST UVWXY ZA to Z index Asolutionor example that is nottrivial. Often, solutions or examples involving the numberzeroare considered trivial.Nonzerosolutions or examples are considered nontrivial. For example, theequationx+ 5y= 0 has the trivial solution (0, 0). Nontrivial solut...
in R3, where α∈(1,2]. Under certain assumptions, we obtain the existence of nontrivial solution of the above problem without compactness by using the methods of perturbation and the mountain pass theorem. This is a preview of subscription content, log in via an institution to check access...
On the existence of nontrivial solution of a quasilinear elliptic boundary value problem for unbounded domains. I: Positive mass case Yang Jianfu, Zhu Xiping, On the existence of nontrivial solutions of a quasilinear elliptic boundary value problem for unbounded domains (I). Acta Math ... Y ...
In fact, we will prove the existence of a nontrivial non- negative solution to (0.1) without the Ambrosetti-Rabino... N Lam,G Lu 被引量: 44发表: 2010年 A multiplicity theorem for Neumann problems with asymmetric nonlinearity We consider a nonlinear Neumann problem with a reaction term ...
Going from approximations on a lattice to real-space systems however is highly non-trivial: as mentioned in the section “Significance of memory-dependence” even the basic theorems and v-representability issues are distinct on a lattice than in real-space, and whether the former can be ...
Figures about the Studies of Math-ematics in European Countries and the USA — A Nontrivial Research AnalysisRimerstatisticalconditions2008 was the year of mathematics in Germany. Dur-ing this time both the authors were involved in a project named "Numbers around Mathematics" and looked into ...
摘要: There is a copy K of the Stone-Cech remainder, β= * , of the integers inside * that is not equal to D D for any countable discrete Dβ. Such a copy of * is known as a non-trivial copy of * . This answers a longstanding open problem of Eric van Douwen.关键词:...
On the Non-Trivial Generalization of Dynamic Time Warping to the Multi-Dimensional Case 来自 学术范 喜欢 0 阅读量: 235 作者:M Shokoohi-Yekta,J Wang,E Keogh 摘要: Dynamic Time Warping (DTW) distance has been effectively used in mining time series data in a multitude of domains. However, ...