Optimising the carrying capacity in logistic diffusive models: some qualitative results

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimization of shapes other than minimal surfaces (49Q10) Miscellaneous topics in calculus of variations and optimal control (49N99) PDEs in connection with control and optimization (35Q93)

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