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EIGENVALUE PROBLEM FOR FIELD EQUATION INVOLVING LIMITING NONLINEARITY

EIGENVALUE PROBLEM FOR FIELD EQUATION INVOLVING LIMITING NONLINEARITY
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摘要 In this paper, we study the following eigenvalue problem involving limiting nonlinearity [GRAPHICS] by a new way of using the concentration-compactness principle. Even in the nonlimiting situation, we improve the known result in the positive mass case in the sense of seeking a nontrivial solution of the above eigenvalue problem. In this paper, we study the following eigenvalue problem involving limiting nonlinearity [GRAPHICS] by a new way of using the concentration-compactness principle. Even in the nonlimiting situation, we improve the known result in the positive mass case in the sense of seeking a nontrivial solution of the above eigenvalue problem.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1990年第4期432-447,共16页 数学物理学报(B辑英文版)
基金 Supported by Youth Foundation, NSFC.
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