Abstract
We consider a system of semilinear elliptic equations with a discontinuous nonlinearity which is equivalent to an integro-differential equation.By minimizing the associated energy functional we show the existence of solutions. The regularity of the solutions is also studied.
∗Supported in Part by CNPq/Brasil.
∗Supported in Part by CNPq/Brasil.
Notes
∗Supported in Part by CNPq/Brasil.