State-constrained semilinear elliptic optimization problems with unrestricted sparse controls

DOI10.3934/mcrf.2020009zbMath1455.35099OpenAlexW2996431193WikidataQ126412422 ScholiaQ126412422MaRDI QIDQ827553

Eduardo Casas, Fredi Tröltzsch

Publication date: 13 January 2021

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2020009

zbMATH Keywords

optimal controlsemilinear elliptic equationsfirst and second order optimality conditionssparse controls

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)

Related Items (2)

Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization ⋮ Analysis of control problems of nonmontone semilinear elliptic equations

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