Comments on behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities

Bodzioch Mariusz; Wiśniewski Damian; Żyjewski Krzysztof

doi:10.1515/math-2017-0033

Open Mathematics (May 2017)

Comments on behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities

Bodzioch Mariusz,
Wiśniewski Damian,
Żyjewski Krzysztof

Affiliations

Bodzioch Mariusz: Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, ul. Sloneczna 54, 10-710 Olsztyn, Poland
Wiśniewski Damian: Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, ul. Sloneczna 54, 10-710 Olsztyn, Poland
Żyjewski Krzysztof: Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, ul. Sloneczna 54, 10-710 Olsztyn, Poland

DOI: https://doi.org/10.1515/math-2017-0033
Journal volume & issue: Vol. 15, no. 1
pp. 667 – 678

Abstract

Read online

We have investigated the behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities in bounded and unbounded domains. We found exponents of the solution’s decreasing rate near the boundary singularities.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

About the journal

Abstract

Keywords