Concentration compactness principle at infinity with partial symmetry and its application

Michinori Ishiwata, Mitsuharu Otani

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    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
    Volume51
    Issue number3
    DOIs
    Publication statusPublished - 2002 Nov

    Keywords

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

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

    Fingerprint Dive into the research topics of 'Concentration compactness principle at infinity with partial symmetry and its application'. Together they form a unique fingerprint.

  • Cite this