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Zeitschrift für Analysis und ihre Anwendungen


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Volume 3, Issue 1, 1984, pp. 65–79
DOI: 10.4171/ZAA/90

Published online: 1984-02-29

Necessary optimality conditions for systems described by nonlinear elliptic equations. I (in Russian)

Uldis Raitums[1]

(1) University of Latvia, Riga, Latvia

This paper considers optimal control problems for systems governed by second order elliptic differential equations in divergence form with nonlinear terms and control appear in all terms. The representation of the main part of increment for a solution of the state equation is given in the case of needle-like variations.

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Raitums Uldis: Necessary optimality conditions for systems described by nonlinear elliptic equations. I (in Russian). Z. Anal. Anwend. 3 (1984), 65-79. doi: 10.4171/ZAA/90