Existence and non-existence results for non-coercive variational problems and applications in ecology

DOI10.1016/0022-0396(90)90116-7zbMath0714.49002OpenAlexW2150439139MaRDI QIDQ750859

Bernard Botteron, Bernard Dacorogna

Publication date: 1990

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(90)90116-7

zbMATH Keywords

relaxationrearrangementnoncoercive variational problemscoercivity assumptionoptimal foraging theory

Mathematics Subject Classification ID

Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Existence theories for free problems in one independent variable (49J05)

Related Items

Qualitative properties of solutions for the Euler equation and solvability of one-dimensional regular variational problems in the classical sense, An existence result for noncoercive nonconvex problems in the calculus of variations, Necessary and sufficient conditions for optimality of nonconvex, noncoercive autonomous variational problems with constraints, Existence of minimizers of free autonomous variational problems via solvability of constrained ones, Another theorem of classical solvability `in small' for one-dimensional variational problems, Monotonicity properties of minimizers and relaxation for autonomous variational problems, Existence of minimizers for nonconvex variational problems with slow growth, Coercivity of integral functionals with non-everywhere superlinear Lagrangians, A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations

Cites Work

• Optimal foraging in nonpatchy habitats. I. Bounded one-dimensional resource
• A general theory of central place foraging for single-prey loaders
• Optimal foraging, the marginal value theorem
• Existence of solutions for a variational problem associated to models in optimal foraging theory
• Optimal Foraging in Nonpatchy Habitats. 2: Unbounded One-Dimensional Habitat
• Central Place Foraging in Nonpatchy Habitats
• Direct methods in the calculus of variations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item