{"id":26986,"date":"2019-10-30T12:09:11","date_gmt":"2019-10-30T08:09:11","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=26986"},"modified":"2019-10-30T15:06:33","modified_gmt":"2019-10-30T11:06:33","slug":"ass-prof-sarvan-tahmaz-oglu-huseynov-gave-a-talk-on-harnack-inequality-and-continuity-by-holder-of-a-solution-of-uniformly-degenerate-in-the-domain-of-the-p-laplace-equation-with-a-makenha","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2019\/10\/30\/ass-prof-sarvan-tahmaz-oglu-huseynov-gave-a-talk-on-harnack-inequality-and-continuity-by-holder-of-a-solution-of-uniformly-degenerate-in-the-domain-of-the-p-laplace-equation-with-a-makenha\/","title":{"rendered":"Ass. prof. Sarvan Tahmaz oglu Huseynov gave a talk on \u201cHarnack inequality and continuity by H\u00f6lder of a solution of uniformly degenerate in the domain of the p-Laplace equation with a Makenhaupt weighted\u201d"},"content":{"rendered":"

Today, the regular seminar of IMM was held. At the seminar ass. prof. of the chair of “Higher Mathematics\u201d of BSU Sarvan Tahmaz oglu Huseynov gave a talk on \u201cHarnack inequality and continuity by H\u00f6lder of a solution of uniformly degenerate in the domain of\u00a0 the p-Laplace equation with a Makenhaupt weighted\u201d<\/strong>.<\/p>\n

In the report, a class of uniformly degenerate second-order quasilinear elliptic equations of divergent form are considered. For solutions of equations of this type, an internal a priori estimate of the H\u00f6lder norm is obtained,as well as the continuity of the solutions by H\u00f6lder\u00a0 and the weak Harnack inequality\u00a0 for non-negative solutions is proved.<\/p>\n