On optimal control problem for an ill-posed strongly nonlinear elliptic equation with \(p\)-Laplace operator and \(L^1\)-type of nonlinearity

DOI10.3934/dcdsb.2019016zbMath1410.49019OpenAlexW2906807495MaRDI QIDQ1733206

Olha P. Kupenko, Peter I. Kogut

Publication date: 21 March 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019016

zbMATH Keywords

optimal control\(p\)-Laplace operatorelliptic equationexistence resultfictitious control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (4)

On regularization of an optimal control problem for ill-posed nonlinear elliptic equations ⋮ On Neumann boundary control problem for ill-posed strongly nonlinear elliptic equation with \(p\)-Laplace operator and \(L^1\)-type of nonlinearity ⋮ On Approximation of an Optimal Control Problem for Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator ⋮ On Tikhonov Regularization of Optimal Distributed Control Problem for an Ill-Posed Elliptic Equation with p-Laplace Operator and $$L^1$$-type of Non-linearity

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