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

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

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.

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2017-05, Vol.15 (1), p.667-678
Hauptverfasser: Bodzioch, Mariusz, Wiśniewski, Damian, Żyjewski, Krzysztof
Format: Artikel
Sprache:eng
Schlagworte:
35J20
35J25
35J60
35J70
Boundary singularities
Elliptic equations
Quasi-linear problems
Singularities
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Beschreibung
Zusammenfassung: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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0033