Regularity for minimizers of integrals with nonstandard growth
Nonlinear Analysis: Theory, Methods & Applications, ISSN: 0362-546X, Vol: 129, Page: 258-264
2015
- 11Citations
- 2Captures
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Article Description
We deal with variational integrals ∫Ωf(x,Du(x))dx and we consider a minimizer u:Ω⊂Rn→R among all functions that agree on the boundary ∂Ω with some fixed boundary value u∗. We assume that the boundary datum u∗ makes the density f(x,Du∗(x)) more integrable and we prove that the minimizer u enjoy higher integrability.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0362546X15003107; http://dx.doi.org/10.1016/j.na.2015.09.009; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84943575479&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0362546X15003107; https://api.elsevier.com/content/article/PII:S0362546X15003107?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0362546X15003107?httpAccept=text/plain; https://dx.doi.org/10.1016/j.na.2015.09.009
Elsevier BV
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