The Liouville theorem for $$p$$ p -harmonic functions and quasiminimizers with finite energy
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DOI: 10.1007/s00209-020-02536-2
Abstract: We show that, under certain geometric conditions, there are no nonconstant quasiminimizers with finite p th power energy in a (not necessarily complete) metric measure space equipped with a globally doubling measure supporting a global… read more here.
Keywords: finite energy; harmonic functions; functions quasiminimizers; energy ... See more keywords
Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space
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DOI: 10.1007/s13324-020-00418-8
Abstract: We study Liouville-type theorems and the asymptotic behaviour of positive solutions near an isolated singular point $$\zeta \in \partial \Omega \cup \{\infty \}$$ ζ ∈ ∂ Ω ∪ { ∞ } of the quasilinear elliptic… read more here.
Keywords: asymptotic behaviour; positive liouville; morrey space; liouville theorem ... See more keywords
von Kármán-Howarth and Corrsin equations closures through Liouville theorem
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DOI: 10.1016/j.rinp.2020.102979
Abstract: In this communication, the closure formulas of von K\'arm\'an--Howarth and Corrsin equations are obtained through the Liouville theorem and the hypothesis of homogeneous isotropic incompressible turbulence. Such closures, based on the concept that, in fully… read more here.
Keywords: von howarth; corrsin equations; turbulence; liouville theorem ... See more keywords