Geodesic
Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point
Mikhail Borsuk 1   ; Krzysztof Żyjewski 1
1 Department of Mathematics and Informatics University of Warmia and Mazury in Olsztyn 10-957 Olsztyn-Kortowo, Poland
Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 369-411 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {Nonlocal {Robin} problem for elliptic second order equations in a plane domain with a boundary corner point},
     journal = {Applicationes Mathematicae},
     pages = {369--411},
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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

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