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seminar:2014:009

第09回

  • 講演者: Giuseppe Di Fazio 氏(カターニア大学)
    • 題目:Strong \(A_\infty\) weights and quasilinear degenerate elliptic equations
    • 日時:平成26年9月10日(水)10:30–11:30

Strong \(A_\infty\) weights are introduced and degenerate elliptic equations with respect to strong weights are then studied. We prove Harnack inequality and local regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions. The degeneracy is given by a suitable power of a strong \(A_\infty\) weight. Regularity results are achieved under minimal assumptions on the coefficients. Then we point two applications. First we prove \(C^{1,\alpha}\) local estimates for solutions of a degenerate equation in non divergence form. As a second application we prove a unique continuation property for positive weak solutions of degenerate elliptic equations.

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seminar/2014/009.txt · 最終更新: 2017/11/16 18:24 (外部編集)