Wiener criterion for X-elliptic operators

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• 作者：Giulio Tralli ; ^{giulio.tralli2@unibo.it" class="auth_mail" title="E-mail the corresponding author} ; Francesco Uguzzoni ^{francesco.uguzzoni@unibo.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J70 ; 35H20 ; 31C15 ; 31E05
• 刊名：Journal of Differential Equations
• 出版年：2015
• 出版时间：5 December 2015
• 年：2015
• 卷：259
• 期：11
• 页码：6510-6527
• 全文大小：353 K

文摘

In this note we prove a Wiener criterion of regularity of boundary points for the Dirichlet problem related to X-elliptic operators in divergence form enjoying the doubling condition and the Poincaré inequality. As a step towards this result, we exhibit some other characterizations of regularity in terms of the capacitary potentials. Finally, we also show that a cone-type criterion holds true in our setting.