Concentration compactness principle at infinity with partial symmetry and its application

Michinori Ishiwata, Mitsuharu Otani*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)391-407
    Number of pages17
    JournalNonlinear Analysis, Theory, Methods and Applications
    Issue number3
    Publication statusPublished - 2002 Nov


    • Concentration compactness principle
    • Infinite cylindrical domain
    • Partial symmetry
    • Supercritical nonlinearity

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)


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