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

Molica Bisci, Giovanni;
2023-01-01

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.
2023
Critical points · Analysis on manifolds · Multiple solutions · Emden–Fowler problems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12078/28406
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