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.
|ジャーナル||Nonlinear Analysis, Theory, Methods and Applications|
|出版物ステータス||Published - 2002 11|
ASJC Scopus subject areas
- Applied Mathematics