Department of Mathematics
University of South Florida
Tampa, FL 33620, USA
email: tbieske@mail.usf.edu
Thomas Bieske
Abstract:
We employ Grushin jets which are adapted to the geometry of Grushin-type
spaces to obtain the existence-uniqueness of viscosity solutions to the
infinity(x)-Laplace equation in Grushin-type spaces. Due to the differences
between Euclidean jets and Grushin jets, the Euclidean method of proof is
not valid in this environment.
Submitted May 9, 2016. Published May 18, 2016.
Math Subject Classifications: 35H20, 53C17, 49L25, 17B70.
Key Words: Viscosity solutions; Grushin-type spaces; Infinite Laplacian.
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Thomas Bieske Department of Mathematics University of South Florida Tampa, FL 33620, USA email: tbieske@mail.usf.edu |
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