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Semilinear equations on fractal blowups
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2009 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 352, no 1, 57-64 p.Article in journal (Refereed) Published
Abstract [en]

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 L-P 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.

Place, publisher, year, edition, pages
2009. Vol. 352, no 1, 57-64 p.
Keyword [en]
Fractals, Dirichlet form, Fractal blowup, Semilinear problem, Sobolev-type inequality, Concentration compactness
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-129854DOI: 10.1016/j.jmaa.2007.12.076ISI: 000264569900006OAI: oai:DiVA.org:uu-129854DiVA: diva2:345514
Available from: 2010-08-25 Created: 2010-08-25 Last updated: 2017-12-12Bibliographically approved

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