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In this paper, we investigate weak solutions to a class of nonlinear elliptic problems with Neumann boundary conditions involving the \(p(\cdot )\) -triharmonic operator. Using B. Ricceri’s critical point theorem and tools from the theory of variable exponent Sobolev spaces, we establish the existence of multiple weak solutions.

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Multiplicity of Weak Solutions for Triharmonic Elliptic Systems Involving the  \((p(\cdot ), q(\cdot ))\) -Laplacian

  • 会议论文

  • 发表日期：

    2026年

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  • Taghi Ahmedatt,
  • Ahmed Ahmed,
  • Mohamed Saad Bouh Elemine Vall

摘要

In this paper, we investigate weak solutions to a class of nonlinear elliptic problems with Neumann boundary conditions involving the \(p(\cdot )\) -triharmonic operator. Using B. Ricceri’s critical point theorem and tools from the theory of variable exponent Sobolev spaces, we establish the existence of multiple weak solutions.