Optimal control of an ill-posed elliptic semilinear equation with an exponential non linearity
E. Casas, O. Kavian, J.-P. Puel (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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E. Casas, O. Kavian, J.-P. Puel (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension is less than or equal to .