Minimization of the Principal Eigenvalue Under Neumann Boundary Conditions

DOI10.1080/01630563.2011.592244zbMath1239.47061OpenAlexW2143041000MaRDI QIDQ3114586

Kanhaiya Jha, Giovanni Porru

Publication date: 19 February 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.592244

zbMATH Keywords

optimizationrearrangementspopulation dynamicseigenvalue problemssymmetry breaking

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Eigenvalue problems for linear operators (47A75) Ecology (92D40) Existence theories for optimal control problems involving partial differential equations (49J20) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (7)

Optimal Location of Resources for Biased Movement of Species: The 1D Case ⋮ On the optimization of the first weighted eigenvalue ⋮ The bang-bang property in some parabolic bilinear optimal control problems \textit{via} two-scale asymptotic expansions ⋮ Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions ⋮ Optimal location of resources maximizing the total population size in logistic models ⋮ On eigenvalues of second order measure differential equation and minimization of measures ⋮ Optimal location of resources and Steiner symmetry in a population dynamics model in heterogeneous environments

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