1,721,018 research outputs found

    On the weighted inertia-energy approach to forced wave equations

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    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

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    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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