<p>This article studies subcritical elliptic problems driven by a polyharmonic double phase operator and establishes the existence of an unbounded sequence of weak solutions. Our approach relies on the symmetric mountain pass theorem of Ambrosetti and Rabinowitz and successfully treats the delicate degenerate regime of the operator. The results appear to be the first in the literature to address polyharmonic double phase problems within this framework.</p>

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On Polyharmonic Kirchhoff Problems with Double Phase Structure and Subcritical Nonlinearities

  • Ashutosh Dixit,
  • Tuhina Mukherjee,
  • Patrick Winkert

摘要

This article studies subcritical elliptic problems driven by a polyharmonic double phase operator and establishes the existence of an unbounded sequence of weak solutions. Our approach relies on the symmetric mountain pass theorem of Ambrosetti and Rabinowitz and successfully treats the delicate degenerate regime of the operator. The results appear to be the first in the literature to address polyharmonic double phase problems within this framework.