BANACH FIXED POINT THEOREM IN APPLICATION TO NONLINEAR ELLIPTIC SYSTEMS
This paper is concerned with some nonlinear elliptic systems. Under suitable conditions on the nonlinearities $f$ and $g$, we obtain weak solution in Sobolev space $H=H_0^1(\Omega)\times H_0^1(\Omega)$ by applying the Banach fixed point theorem.
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