Hölder continuity of solutions of an elliptic equation uniformly degenerating on part of the domain

Autor:	S. T. Guseinov, Yu. A. Alkhutov
Rok vydání:	2009
Předmět:	Quarter period Elliptic curve point multiplication Elliptic curve Partial differential equation Elliptic partial differential equation General Mathematics Ordinary differential equation Mathematical analysis Analysis Domain (mathematical analysis) Mathematics Jacobi elliptic functions
Zdroj:	Differential Equations. 45:53-58
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266109010066
Popis:	We consider a second-order divergence elliptic equation in a domain D divided by a hyperplane in two parts. The equation is uniformly elliptic in one of these parts and is uniformly degenerate with respect to a small parameter ɛ in the other. We show that each solution is Holder continuous in D with Holder exponent independent of ɛ.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::769cdd1a1918d8439d2d18c071c20525 https://doi.org/10.1134/s0012266109010066 Zobrazit plný text záznamu Plný text ve formátu PDF