Existence of multiple positive solutions to integral boundary value systems with boundary multiparameters

Abstract

Abstract We establish the existence, nonexistence, and multiplicity of positive solutions to semilinear elliptic systems with integral boundary conditions when positive multiparameters vary on the boundary. We prove the results by using sub- and supersolution argument and fixed point index theory.

Keywords

• Coupled integral boundary system
• Boundary multiparameters
• Multiple positive solutions
• Fixed point index
• Sub- and supersolutions