TY - JOUR
T1 - Concentration compactness principle at infinity with partial symmetry and its application
AU - Ishiwata, Michinori
AU - Otani, Mitsuharu
PY - 2002/11
Y1 - 2002/11
N2 - 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.
AB - 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.
KW - Concentration compactness principle
KW - Infinite cylindrical domain
KW - Partial symmetry
KW - Supercritical nonlinearity
UR - http://www.scopus.com/inward/record.url?scp=0036833054&partnerID=8YFLogxK
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U2 - 10.1016/S0362-546X(01)00836-7
DO - 10.1016/S0362-546X(01)00836-7
M3 - Article
AN - SCOPUS:0036833054
SN - 0362-546X
VL - 51
SP - 391
EP - 407
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 3
ER -