Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains
Abstract
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem. Using barrier function and applying the comparison principle, we find the exact exponent of weak solutions decreasing rate near the infinity.
Language: English
Page range: 201 - 224
Submitted on: Mar 9, 2016
Accepted on: Jul 5, 2016
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2017 Damian Wiśniewski, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.