An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations

In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation. The existence of solutions to this type of equ...

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Bibliographic Details
Main Authors: Minh-Phuong Tran, Thanh-Nhan Nguyen
Format: Article
Language:English
Published: Texas State University 2019-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/118/abstr.html