Concentration compactness principle at infinity with partial symmetry and its application

Michinori Ishiwata, Mitsuharu Otani

    研究成果: Article

    4 引用 (Scopus)

    抄録

    The concentration compactness problem (CCP), which plays a very important role in the study of nonlinear partial differential equations and nonlinear eliiptic equations, was studied. The partial symmetry of the problem at infinity was analyzed. The partial symmetry of the domain was formulated in terms of the transformation group acting on the domain. Some semilinear elliptic equations in the infinite cylindrical domains with axial symmetry were discussed to illustrate the applicability of the results.

    元の言語English
    ページ(範囲)391-407
    ページ数17
    ジャーナルNonlinear Analysis, Theory, Methods and Applications
    51
    発行部数3
    DOI
    出版物ステータスPublished - 2002 11

    Fingerprint

    Concentration-compactness Principle
    Nonlinear equations
    Partial differential equations
    Infinity
    Partial
    Symmetry
    Concentration-compactness
    Axial Symmetry
    Transformation group
    Semilinear Elliptic Equations
    Nonlinear Partial Differential Equations
    Nonlinear Equations

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

    これを引用

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    KW - Partial symmetry

    KW - Supercritical nonlinearity

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