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The main purpose of this paper is to capture the asymptotic behaviour for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two… Click to show full abstract
The main purpose of this paper is to capture the asymptotic behaviour for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions near the degenerate or singular point, especially covering the weighted p-Laplace equations and weighted fast diffusion equations. As a consequence, we also establish the local Hölder estimates for their solutions in the presence of single power-type weights.
Keywords:
parabolic equations;
equations anisotropic;
nonlinear elliptic;
anisotropic weights;
elliptic parabolic;
local regularity
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2022
Link to full text (if available)
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!