Infinitely many weak solutions for a p-triharmonic problem with Navier boundary conditions

ABSTRACT

The existence of infinitely many weak solutions to a class of nonlinear elliptic Navier boundary value problems containing the p-triharmonic operator is considered by a variational approach and critical point theory.

KEYWORDS:

• Nonlinear problems
• variational methods
• Navier boundary conditions
• p-triharmonic operators
• critical points
• applications
• partial differential equations

1991 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 34B15
• 35A15
• 35B38

Disclosure statement

No potential conflict of interest was reported by the author(s).