Article ID Journal Published Year Pages File Type
4620308 Journal of Mathematical Analysis and Applications 2009 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis