Nonexistence and existence results of an optimal control problem governed by a class of multisolution semilinear elliptic equations

DOI10.1016/j.na.2015.08.015zbMath1326.49008OpenAlexW1850803079MaRDI QIDQ888876

Shu Luan

Publication date: 2 November 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.08.015

zbMATH Keywords

optimal controlexistence resultsrelaxed controlnonexistence resultmultisolution semilinear elliptic equations

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)

Related Items (1)

On the existence of optimal control for semilinear elliptic equations with nonlinear Neumann boundary conditions

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