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Qualitative Analysis of General Elliptic Operator in Divergence Form

  • S. Behvandi,
  • J. Esmaily,
  • M. R. Heidari Tavani,
  • M. Alizadeh

摘要

Abstract

In this work, we study a singular elliptic Dirichlet problem involving a general elliptic operator. Using the critical point theory, we investigate and give out some new solvability conditions for the existence of at least one nontrivial weak solution. Our framework includes a large class of weighted \(p\) -Laplacian models, which is a special case of the problem studied in this paper.