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<p>This paper deals with a new kind of double phase competing problems, involving a logarithmic perturbation term along with a convection term and mixed boundary conditions. We establish the existence of both generalized and strongly generalized solutions to problem under consideration. We point out that to archive such existence results, we follow a Galerkin approach. Further, a key role is played by a surjectivity result for finite dimension spaces.</p>

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A class of logarithmic double phase competing problems with convection term and mixed boundary conditions

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • Zhen Zhong,
  • Francesca Vetro,
  • Boling Chen

摘要

This paper deals with a new kind of double phase competing problems, involving a logarithmic perturbation term along with a convection term and mixed boundary conditions. We establish the existence of both generalized and strongly generalized solutions to problem under consideration. We point out that to archive such existence results, we follow a Galerkin approach. Further, a key role is played by a surjectivity result for finite dimension spaces.