The existence of at least one non-trivial solution to a boundary value problem for fourth-order elastic beam equations, under a non-standard growth condition of the nonlinear term, is established. Our approach is based on a local minimum theorem for differentiable functionals. © 2011 Elsevier Ltd. All rights reserved.
Non-trivial solutions for nonlinear fourth-order elastic beam equations
BONANNO, Gabriele;DI BELLA, Beatrice;
2011-01-01
Abstract
The existence of at least one non-trivial solution to a boundary value problem for fourth-order elastic beam equations, under a non-standard growth condition of the nonlinear term, is established. Our approach is based on a local minimum theorem for differentiable functionals. © 2011 Elsevier Ltd. All rights reserved.File in questo prodotto:
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