Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point
Mikhail Borsuk ; Krzysztof Żyjewski
Applicationes Mathematicae, Tome 38 (2011), p. 369-411 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:279959 
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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},
     volume = {38},
     year = {2011},
     pages = {369-411},
     zbl = {1232.35041},
     language = {en},
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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) pp. 369-411. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-4-1/