1,721,018 research outputs found
On the weighted inertia-energy approach to forced wave equations
We show convergence of minimizers of weighted inertia-energy functionals to solutions of initial value problems for a class of nonlinear wave equations. The result is given for the nonhomogeneous case under a natural growth assumption on the forcing term.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/)
Upper and Lower Bounds for Poincaré-type Constants in BH
The paper provides upper and lower bounds for the Poincare constant in some inequalities involving BH functions and shows their application to some problems in the Calculus of Variations
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