<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We...

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

Published Online: Sep 21, 2017

Page range: 201 - 224

Received: Mar 09, 2016

Accepted: Jul 05, 2016

DOI: https://doi.org/10.1515/auom-2017-0030

Keywords
Elliptic divergence quasi-linear equations, Weak solutions, Unbounded do- mains, Comparison principle, Barrier function

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

Published Online: Sep 21, 2017

Page range: 201 - 224

Received: Mar 09, 2016

Accepted: Jul 05, 2016

DOI: https://doi.org/10.1515/auom-2017-0030

KeywordsElliptic divergence quasi-linear equations, Weak solutions, Unbounded do- mains, Comparison principle, Barrier function

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Elliptic divergence quasi-linear equations, Weak solutions, Unbounded do- mains, Comparison principle, Barrier function