Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620308 | Journal of Mathematical Analysis and Applications | 2009 | 8 Pages |
Abstract
The paper concerns existence of a ground state for a nonlinear scalar field equation on a blowup fractal, where imbedding of the energy space into Lp is not compact. In absence of invariant transformations involved in conventional concentration-compactness argument, the paper develops convergence reasoning based on the fractal's self-similarity.
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