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A Sub-supersolution Method for Integro-differential Semilinear Elliptic Equations and Some Applications

  • Romildo N. de Lima,
  • Alânnio B. Nóbrega,
  • Leandro S. Tavares

摘要

In this manuscript, we introduce a new sub-supersolution result for a problem involving an integro-differential operator with local and nonlocal terms, which arise in several applications such as thermal process, plasma reaction, and populational growth. The result obtained allows to consider a wide class of equations. Several applications of the result are provided which complements recent studies in the field.