Differential and Integral Equations

Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic

Eduardo Casas and Jiong Min Yong

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Abstract

In this paper, the authors study an optimal control problem for quasilinear elliptic partial differential equations with pointwise state constraints. Weak and strong optimality conditions of Pontryagin maximum principle type are derived. In proving these results, we penalized the state constraints and respectively use the Ekeland variational principle and an exact penalization method.

Article information

Source
Differential Integral Equations, Volume 8, Number 1 (1995), 1-18.

Dates
First available in Project Euclid: 21 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369143781

Mathematical Reviews number (MathSciNet)
MR1296107

Zentralblatt MATH identifier
0817.49025

Subjects
Primary: 49K20: Problems involving partial differential equations
Secondary: 35J60: Nonlinear elliptic equations

Citation

Casas, Eduardo; Yong, Jiong Min. Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic. Differential Integral Equations 8 (1995), no. 1, 1--18. https://projecteuclid.org/euclid.die/1369143781


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