Abstract
In this chapter, we consider the natural energy functional (for functions) and the corresponding Sobolev spaces. Then we introduce the nonlinear Laplacian in a way that its associated harmonic functions are minimizers of the energy functional. We also show the Laplacian comparison theorem as the first analytic comparison theorem.
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Ohta, Si. (2021). The Nonlinear Laplacian. In: Comparison Finsler Geometry. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-80650-7_11
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DOI: https://doi.org/10.1007/978-3-030-80650-7_11
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