Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point

• Autorzy: Mikhail Borsuk , Krzysztof Żyjewski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35B10: Periodic solutions
• 35J70: Degenerate elliptic equations
• 35J25: Boundary value problems for second-order elliptic equations
• 35J15: Second-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 4
• Strony: 369-411

Daty

wydano

2011

Twórcy

autor

Mikhail Borsuk

• Department of Mathematics and Informatics, University of Warmia and Mazury in Olsztyn, 10-957 Olsztyn-Kortowo, Poland

autor

Krzysztof Żyjewski

• Department of Mathematics and Informatics, University of Warmia and Mazury in Olsztyn, 10-957 Olsztyn-Kortowo, Poland

Identyfikatory

DOI

10.4064/am38-4-1