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Showing 1 to 2 of 2 for “"Liouville-type theorems"”.

  1. Qualitative Properties Of Solutions Of Fully Nonlinear Equations And Overdetermined Problems

    … is established. In section 3, We establish Liouville-type theorems and decay estimates for viscosity solutions to a class of fully nonlinear elliptic equations or systems in half spaces without the boundedness assumptions on the solutions. Using the blow-up method and doubling lemma, we …

    wayne-thes Repository record for Qualitative Properties Of Solutions Of Fully Nonlinear Equations And Overdetermined Problems (opens in a new tab)

  2. Liouville Properties and Dimensionality Bounds for Harmonic and Caloric Functions

    Classical Liouville type theorems claim that solutions to certain elliptic or parabolic PDE are trivial provided some generic constraints about the function and the underlying space. When the solution space is not trivial, one can ask whether it is a linear space with finite dimension. In this …

    mit Repository record for Liouville Properties and Dimensionality Bounds for Harmonic and Caloric Functions (opens in a new tab)