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- Title
Constrained Local Minima for Smooth Functionals and Some Consequences.
- Authors
Alves, Claudianor O.; Molica Bisci, Giovanni; Vilasi, Luca
- Abstract
We prove a local minimum result for a one-parameter family of C 1 functionals on Finsler manifolds and derive several theoretical consequences. We finally apply our abstract result to get existence of solutions for some classes of nonlinear constrained problems, including equations on compact Riemaniann manifolds without boundary, and Neumann problems governed by the p-Laplacian operator.
- Subjects
FUNCTIONALS; MANIFOLDS (Mathematics); DIFFERENTIAL geometry; LAPLACIAN operator; DIFFERENTIAL operators
- Publication
Journal of Geometric Analysis, 2023, Vol 33, Issue 5, p1
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-023-01201-4