Abstract
In this paper we study the existence and uniqueness of both weak solutions and entropy solutions for the Dirichlet boundary value problem of a class of non-uniformly elliptic equations. A comparison result is also discussed. Some well-known elliptic equations are the special cases of this equation.
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The first author was supported by Natural Scientific Research Innovation Foundation in Harbin Institute of Technology. The second author was supported in part by the NSFC under Grant 10990013.
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Zhang, C., Zhou, S. On a class of non-uniformly elliptic equations. Nonlinear Differ. Equ. Appl. 19, 345–363 (2012). https://doi.org/10.1007/s00030-011-0132-3
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DOI: https://doi.org/10.1007/s00030-011-0132-3