Existence of Solutions for a Singular m ‐Triharmonic Equation With Logarithmic Nonlinearity

Key Points

• The aim is to investigate the existence of solutions for a singular triharmonic equation influenced by logarithmic nonlinearity.
• Utilized the cut-off technique for local existence
• Employed Faedo-Galerkin approximation to assist in solution methods
• Applied potential well method for global existence derivation
• Demonstrated local existence of solutions for the singular triharmonic equation
• Established the global existence of weak solutions
• Confirmed the effectiveness of proposed mathematical techniques