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<p>We study two-phase free boundary problems in planar domains related to models describing the equilibrium of a confined plasma in a cavity, ruled by semilinear elliptic equations with nonlinearities with exponential growth plus a singular inverse of a power. We obtain the existence and regularity of solutions arising as critical points of the associated energy functional and we also address the regularity of free boundaries as smooth curves.</p>

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Two-phase elliptic free boundary problems with exponential nonlinearities

  • 期刊论文

  • 发表日期：

    2025年5月5日

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  • Eduardo Hitomi,
  • Marcelo Montenegro

摘要

We study two-phase free boundary problems in planar domains related to models describing the equilibrium of a confined plasma in a cavity, ruled by semilinear elliptic equations with nonlinearities with exponential growth plus a singular inverse of a power. We obtain the existence and regularity of solutions arising as critical points of the associated energy functional and we also address the regularity of free boundaries as smooth curves.