Concentration compactness principle at infinity with partial symmetry and its application

Michinori Ishiwata, Mitsuharu Otani*

*この研究の対応する著者

    研究成果査読

    4 被引用数 (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.

    本文言語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
    3
    DOI
    出版ステータスPublished - 2002 11

    ASJC Scopus subject areas

    • 分析
    • 応用数学
    • 数学 (全般)

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