检索结果-南通市图书馆

NONTRIVIAL SOLUTIONS FOR A POLYHARMONIC EQUATION WITH singular term

在线全文

学校读者我要写书评

暂无评论

Annals of Differential Equations 2006年第1期22卷 75-80页

作者： Xu Jinquan Yao Yangxin Dept. of Math. Huizhou University Huizhou 516015 Dept. of Appl. Math. South China University of Technology Guangzhou 510640

The existence of nontrivial solutions for a polyharmonic equation with singular term is proved by Mountain Pass Lemma and Sobolev-Hardy inequality.

关键词： polyharmonic equation singular term nontrivial solution Sobolev-Hardy inequality

singular DOUBLE PHASE EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2023年第3期43卷 1031-1044页

作者：刘振海 Nikolaos S.PAPAGEORGIOU Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal UniversityYulin537000China Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis Guangxi Minzu UniversityNanning530006China Department of Mathematics National Technical UniversityZografou Campus15780AthensGreece

We study a double phase Dirichlet problem with a reaction that has a parametric singular term. Using the Nehari manifold method, we show that for all small values of the parameter, the problem has at least two positiv... 详细信息

关键词： double phase singular term unbalanced growth Musielak-Orlice spaces Nehari manifold positive solutions

Series expansion feasibility of singular integral in method of moments

在线全文

学校读者我要写书评

暂无评论

Journal of Systems Engineering and Electronics 2014年第3期25卷 386-392页

作者： Jinzu Ji Peilin Huang School of Aeronautic Science and Engineering Beihang University

When calculating electromagnetic scattering using method of moments （MoM）, integral of the singular term has a significant influence on the results. This paper transforms the singular surface integral to the contour integral. The integrand is expanded to Taylor series and the integral results in a closed form. The cut-off error is analyzed to show that the series converges fast and only about 2 terms can agree wel with the accurate result. The comparison of the perfect electric conductive （PEC） sphere＇s bi-static radar cross section （RCS） using MoM and the accurate method validates the feasibility in manipulating the singularity. The error due to the facet size and the cut-off terms of the series are analyzed in examples.

关键词： method of moments （MoM） singular term series cut-off error radar cross section （RCS）.

NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2007年第3期27卷 509-514页

作者：姚仰新王荣鑫沈尧天 School of Mathematical Sciences South China University of Technology

In this article, the authors prove the existence and the nonexistence of nontrivial solutions for a semilinear biharmonic equation involving critical exponent by virtue of Mountain Pass Lemma and Sobolev-Hardy inequal... 详细信息

关键词： Biharmonic equation critical exponent singular term nontrivial solution,Sobolev-Hardy inequality

在线全文

学校读者我要写书评

暂无评论

自由逻辑发展的新阶段