×

\(p\)-harmonic obstacle problems. IV: Unbounded side conditions. (English) Zbl 0793.49017

Summary: [For part III see the author, Ann. Mat. Pura Appl., IV. Ser. 156, 159-180 (1990; Zbl 0715.49005).]
We study vector valued Sobolev functions which minimize degenerate variational integrals subject to side conditions which do not a priori imply boundedness of the minimizer. It is shown that a partial regularity theorem holds and that under certain natural hypotheses concerning the data singularities are in fact removable.

MSC:

49N60 Regularity of solutions in optimal control

Citations:

Zbl 0715.49005
PDFBibTeX XMLCite
Full Text: DOI