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<p>In the last decades studies of partial differential equations on complex structures have been gaining their popularity. In particular, we notice equations on so-called stratified sets. We prove the Aleksandrov–Bakelman type maximum principle for linear elliptic second-order equation on a “book”-type stratified set. Bibliography: 10 titles.</p>

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LOCAL MAXIMUM ESTIMATES OF THE ALEKSANDROV–BAKELMAN TYPE FOR SOLUTIONS OF ELLIPTIC EQUATIONS ON A “BOOK”-TYPE STRATIFIED SET

  • 期刊论文

  • 发表日期：

    2026年3月19日

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  • F. Mironenko,
  • A. Nazarov

摘要

In the last decades studies of partial differential equations on complex structures have been gaining their popularity. In particular, we notice equations on so-called stratified sets. We prove the Aleksandrov–Bakelman type maximum principle for linear elliptic second-order equation on a “book”-type stratified set. Bibliography: 10 titles.