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- W2800568002 abstract "The present note contains a review of $p$-energies and Sobolev spaces on metric measure spaces that carry a strongly local regular Dirichlet form. These Sobolev spaces are then used to generalize some basic results from the calculus of variations, such as the existence of minimizers for convex functionals and certain constrained mimimization problems. This applies to a number of non-classical situations such as degenerate diffusions, superpositions of diffusions and diffusions on fractals or on products of fractals." @default.
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- W2800568002 date "2018-05-11" @default.
- W2800568002 modified "2023-10-16" @default.
- W2800568002 title "Sobolev spaces and calculus of variations on fractals" @default.
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