Geodesic
Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain
Commentationes Mathematicae, Tome 57 (2017) no. 1, p. 9−24.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We investigate the behaviour of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighbourhood of the boundary corner point. We find the exponent of the solution decreasing rate under the assumption that the leading coefficients of the equations do not satisfy the Dini-continuity condition.
DOI : 10.14708/cm.v57i1.1536
Classification : 35J15, 35J25, 35J70
Mots-clés : boundary value problems, weak solutions, second order elliptic linear equations, nonlocal Robin problem, corner points, Dini-continuity 
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Krzysztof Żyjewski. Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain. Commentationes Mathematicae, Tome 57 (2017) no. 1, p.  9−24. doi : 10.14708/cm.v57i1.1536. http://geodesic.mathdoc.fr/articles/10.14708/cm.v57i1.1536/

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