Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain

• Autorzy: Żyjewski K.

Identyfikatory

DOI

10.14708/cm.v57i1.1536

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

boundary value problems; weak solutions; second order elliptic linear equations; nonlocal Robin problem; corner points; Dini-continuity

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2017
• Tom: Vol 57, No. 1
• Strony: 9--24
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Żyjewski K.

• Department of Mathematics and Informatics, University of Warmia and Mazury in Olsztyn, Słoneczna 54, 10-710 Olsztyn, Poland

Bibliografia

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• [12] L. Skubachevskii, Nonclassical boundary value problems. II, Sovrem. Mat. Fundam. Napravl. 33 (2009), 3-179, DOI 10.1007/s10958-010-9873-5; English transl., J. Math. Sci. 166 (2010), no. 4, 377-561.
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).