We establish a priori bounds for positive solutions of semilinear elliptic systems in two dimenions. We obtain results concerning such bounds when the nonlinearities depend exponentially on the variables. Based on these bounds, existence of positive solutions is proved.
Non-variational elliptic systems in dimension two : a priori bounds and existence of positive solutions / D.G. de Figueiredo, J.M. do O', B. Ruf. - In: JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS. - ISSN 1661-7738. - 4:1(2008), pp. 77-96.
Non-variational elliptic systems in dimension two : a priori bounds and existence of positive solutions
B. RufUltimo
2008
Abstract
We establish a priori bounds for positive solutions of semilinear elliptic systems in two dimenions. We obtain results concerning such bounds when the nonlinearities depend exponentially on the variables. Based on these bounds, existence of positive solutions is proved.
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