Abstract: This paper presents a numerical scheme for a class of isoperimetric constraint variational problems (ICVPs) defined in terms of an Aoperator introduced recently. In this scheme, Bernstein's polynomials are used to approximate ...

Abstract: Abstract. In this paper, we investigate a two-dimensional abstract semilinear wave equation and its quenching behavior. With the help of Kaplan's first eigenvalue method, we prove that for a sufficiently large domain, the ...