Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří Some remarks about the \(p\)-Dirichlet integral. (English) Zbl 0808.49038 Commentat. Math. Univ. Carol. 35, No. 1, 55-62 (1994). The authors discuss the \(p\)-Dirichlet integral for mappings between compact Riemannian manifolds. The exponent \(p\) may be non-integer. The emphasis is on the role played by the geometry of the target manifold in the weak formulation of the variational problem on the appropriate Sobolev spaces. Reviewer: G.Warnecke (Stuttgart) MSC: 49Q20 Variational problems in a geometric measure-theoretic setting 58C99 Calculus on manifolds; nonlinear operators Keywords:concentrations; \(p\)-Dirichlet integral; compact Riemannian manifolds; variational problem; Sobolev spaces PDF BibTeX XML Cite \textit{M. Giaquinta} et al., Commentat. Math. Univ. Carol. 35, No. 1, 55--62 (1994; Zbl 0808.49038) Full Text: EuDML OpenURL