Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms

Key Points

• The aim is to establish uniqueness for weak solutions in Neumann problems involving nonlinear elliptic equations with lower order terms.
• Proved uniqueness results under assumptions of small coefficients.
• Analyzed solutions in the context of weak formulations on a bounded open subset with a Lipschitz boundary.
• Considered coefficients in Lebesgue spaces and Sobolev space duals.
• Demonstrated conditions under which uniqueness holds for weak solutions.
• Identified specific intervals for positive constants based on derived theorems.
• Established a framework for future exploration of nonlinear elliptic problems.