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• W3199719620 abstract "The present paper is devoted to a theory of profile decomposition for bounded sequences in emph{homogeneous} Sobolev spaces, and it enables us to analyze the lack of compactness of bounded sequences. For every bounded sequence in homogeneous Sobolev spaces, the sequence is asymptotically decomposed into the sum of profiles with dilations and translations and a double suffixed residual term. One gets an energy decomposition in the homogeneous Sobolev norm. The residual term becomes arbitrarily small in the critical Lebesgue or Sobolev spaces of lower order, and then, the results of decomposition of integral functionals are obtained, which are important strict decompositions in the critical Lebesgue or Sobolev spaces where the residual term is vanishing." @default.
• W3199719620 created "2021-09-27" @default.
• W3199719620 creator A5056841283 @default.
• W3199719620 date "2021-09-16" @default.
• W3199719620 modified "2023-09-26" @default.
• W3199719620 title "Profile decomposition in Sovolev spaces and decomposition of integral functionals II: homogeneous case" @default.
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• W3199719620 hasPublicationYear "2021" @default.
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