与(P,q)-Laplace算子相关的非线性Dirichlet椭圆系解的存在性及其迭代构造
여(P,q)-Laplace산자상관적비선성Dirichlet타원계해적존재성급기질대구조
Existence and Iterative Construction of Solutions for Nonlinear Dirichlet Elliptic Systems Involving ( p, q ) -Laplacian
  • 万方数据
    应用数学 응용수학
    MATHEMATICA APPLICATA
    2012年 2期 246-252 ,共7页

    魏利%刘元星%Ravi P.Agarwal

    위리%류원성%Ravi P.Agarwal

    极大单调算子%伪单调算子%(p,q)-Laplace算子%零点%非线性Dirichlet椭圆系 極大單調算子%偽單調算子%(p,q)-Laplace算子%零點%非線性Dirichlet橢圓繫
    겁대단조산자%위단조산자%(p,q)-Laplace산자%영점%비선성Dirichlet타원계
    Maximal monotone operator%Pseudo-monotone operator%(p,q) -Laplacian%Zero point%Nonlinear Dirichlet elliptic system
    利用变分不等式解的存在性的结论,研究了一类与(p,q) -Laplace算子相关的非线性Dirichlet椭圆系解的存在性的抽象结论.然后,利用极大单调算子零点的结论,构造了一种迭代格式强收敛到上述椭圆系的解.本文所研究的椭圆系及所用方法是对以往一些工作的推广和补充.
    이용변분불등식해적존재성적결론,연구료일류여(p,q) -Laplace산자상관적비선성Dirichlet타원계해적존재성적추상결론.연후,이용겁대단조산자영점적결론,구조료일충질대격식강수렴도상술타원계적해.본문소연구적타원계급소용방법시대이왕일사공작적추엄화보충.
    By using the result on the existence of solutions for variational inequalities,we present some abstract results for the existence of the solutions of nonlinear Dirichlet elliptic systems involving (p,q) -Laplacian.By using a result on zero points of maximal monotone operators,we construct an iterative scheme to be convergent strongly to the solutions of the above systems.The systems discussed in this paper and the method used extend and complement some of the previous work.
    원문보기 원문다운로드 사이트로이동
저자의 최근 논문