Geodesic
An optimal control problem for a~nonlinear elliptic equation with a~phase constraint and state variation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 81-86

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We study an optimal control problem for a system described by a nonlinear elliptic equation with a state constraint in the form of an inclusion. We prove the solvability of the problem under consideration and by varying the state of the system obtain necessary optimality conditions.
Keywords: optimization, nonlinear elliptic equation, phase constraint, state variation. 
@article{IVM_2013_9_a10,
     author = {S. Ya. Serovaiskii},
     title = {An optimal control problem for a~nonlinear elliptic equation with a~phase constraint and state variation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {81--86},
     publisher = {mathdoc},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_9_a10/}
}
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S. Ya. Serovaiskii. An optimal control problem for a~nonlinear elliptic equation with a~phase constraint and state variation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 81-86. http://geodesic.mathdoc.fr/item/IVM_2013_9_a10/