Optimal control governed by a semilinear elliptic differential equation

DOI10.1016/S0362-546X(99)00319-3zbMath0985.49010OpenAlexW2036337882WikidataQ60536006 ScholiaQ60536006MaRDI QIDQ5940170

Gengsheng Wang, Yongcheng Zhao, Weide Li

Publication date: 2 June 2002

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/s0362-546x(99)00319-3

zbMATH Keywords

optimal controlmaximum principlenecessary optimality conditionselliptic equationLipschitz continuous functionalminimal positive solution

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (1)

Optimal control problems for a class of semilinear multisolution elliptic equations

Cites Work

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• Boundary control problems for quasi-linear elliptic equations: A Pontryagin's principle
• Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Optimization and nonsmooth analysis
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N

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