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ABSTRACT In this paper, we study the Dirichlet problem associated with infinity-Laplacian type equations that may exhibit anisotropic character. We identify a broad class of nonlinearities for which the problem… Click to show full abstract
ABSTRACT In this paper, we study the Dirichlet problem associated with infinity-Laplacian type equations that may exhibit anisotropic character. We identify a broad class of nonlinearities for which the problem may or may not admit viscosity solutions for any continuous boundary data. We also discuss comparison with Finsler cones, which may be of independent interest.
Keywords:
laplacian type;
equations associated;
dirichlet;
type equations;
infinity laplacian
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!