Year: 1998
Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 313–334
Abstract
The existence and regularity of the solution for the fully nonlinear second order elliptic equation with gradient constraint are discussed in this paper. We prove the existence of the strong solution by choice of special penalty function, and obtain the local W^{2,∞} estimate of the solution by means of the theory of viscosity solution with the auxiliary function method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JPDE-5573
Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 313–334
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Regularity and existence