Fuchs, Martin \(p\)-harmonic obstacle problems. IV: Unbounded side conditions. (English) Zbl 0793.49017 Analysis 13, No. 1-2, 69-76 (1993). 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. Cited in 2 Documents MSC: 49N60 Regularity of solutions in optimal control Keywords:\(p\)-harmonic obstacle problem; \(p\)-energy; vector valued Sobolev functions; degenerate variational integrals Citations:Zbl 0715.49005 PDFBibTeX XMLCite \textit{M. Fuchs}, Analysis 13, No. 1--2, 69--76 (1993; Zbl 0793.49017) Full Text: DOI