## On the optimal control of nonresonant elliptic equations.(English)Zbl 0603.49004

We obtain a result on the existence of optimal controls for nonresonant equations describing a distributed parameter system.

### MSC:

 49J20 Existence theories for optimal control problems involving partial differential equations 35J65 Nonlinear boundary value problems for linear elliptic equations 93C20 Control/observation systems governed by partial differential equations 35B37 PDE in connection with control problems (MSC2000) 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

### Keywords:

nonresonant equations; distributed parameter system
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