We prove a local minimum result for a one-parameter family of C1 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.
Constrained Local Minima for Smooth Functionals and Some Consequences
Alves, Claudianor O.;Molica Bisci, Giovanni;Vilasi, Luca
2023
Abstract
We prove a local minimum result for a one-parameter family of C1 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.File in questo prodotto:
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