Department of Mathematics, University of Lagos, Lagos, Nigeria. Department of Mathematics, Yaba College of Technology, Lagos, Nigeria. Department of Mechanical Engineering, Yaba College of Technology, ...

Abstract: We consider time-harmonic wave scattering from unbounded penetrable rough layers and provide existence theory for this problem via variational formulations. A rough layer is a model for a ...

Abstract: It is shown that the variational method of dealing with the integral equations of scattering problems is equivalent to solving the integral equation directly by Galerkin's method and using ...

ABSTRACT: In this paper, we study the existence of solution of a critical fractional equation; we will use a variational approach to find the solution. Firstly, we will find a suitable functional to ...