Sublinear elliptic systems with discontinuous nonlinearities
Francisco Júlio S. A. Corrêa, J.V. Gonçalves · Applicable Analysis · 1992
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.