Concentration compactness principle at infinity with partial symmetry and its application

Michinori Ishiwata; Mitsuharu Otani

doi:10.1016/S0362-546X(01)00836-7

Concentration compactness principle at infinity with partial symmetry and its application

Michinori Ishiwata, Mitsuharu Otani^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	391-407
Number of pages	17
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	51
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(01)00836-7
Publication status	Published - 2002 Nov

Keywords

Concentration compactness principle
Infinite cylindrical domain
Partial symmetry
Supercritical nonlinearity

ASJC Scopus subject areas

Analysis
Applied Mathematics
Mathematics(all)

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10.1016/S0362-546X(01)00836-7

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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.",

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AU - Ishiwata, Michinori

AU - Otani, Mitsuharu

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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

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JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

ER -

Concentration compactness principle at infinity with partial symmetry and its application

Abstract

Keywords

ASJC Scopus subject areas

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