## Some remarks about the $$p$$-Dirichlet integral.(English)Zbl 0808.49038

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.

### MSC:

 49Q20 Variational problems in a geometric measure-theoretic setting 58C99 Calculus on manifolds; nonlinear operators
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