Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point
Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 369-411.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of a boundary corner point. We find an exponent of the solution's decreasing rate under minimal assumptions on the problem coefficients.
DOI : 10.4064/am38-4-1
Keywords: investigate behavior weak solutions nonlocal robin problem linear elliptic divergence second order equations neighborhood boundary corner point exponent solutions decreasing rate under minimal assumptions problem coefficients

Mikhail Borsuk 1 ; Krzysztof Żyjewski 1

1 Department of Mathematics and Informatics University of Warmia and Mazury in Olsztyn 10-957 Olsztyn-Kortowo, Poland
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Mikhail Borsuk; Krzysztof Żyjewski. Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point. Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 369-411. doi : 10.4064/am38-4-1. http://geodesic.mathdoc.fr/articles/10.4064/am38-4-1/

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