Existence of Solutions for (p1(x),p2(x)) -Triharmonic Problem with Navier Boundary Conditions
Abstract
In this paper, we use the Mountain Pass theorem and the Fountain theorem to study the existence of solutions for the following ( p 1 ( x ), p 2 ( x ) ) -triharmonic equations: { − Δ p 1 ( x ) 3 u− Δ p 2 ( x ) 3 u=f( x,u ), in Ω , u=Δu= Δ 2 u=0, on ∂Ω , . where the nonlinear term satisfying growth conditions weaker than Ambrosetti-Rabinowitz condition. We establish the existence of weak solutions using critical point theory and variational methods.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Holomorphic and Operator Theory
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Journal of Applied Mathematics and Physics
- Publisher
- Scientific Research Publishing, Inc.
- Volume
- 14
- Issue
- 02
- Pages
- 631–647
- Publication date
- 1 January 2026