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Dynamical behaviour of a large complex system
Infinitely many solutions for ordinary $p$-Laplacian systems with nonlinear boundary conditions
| 1. | West University of Timişoara, Department of Mathematics, Blvd. V. Pârvan no. 4, 300223 Timişoara, Romania |
$-( | u' | ^{p-2}u')' + \varepsilon |u|^{p-2}u= \nabla F(t,u), $ in $(0,T)$,
$((|u'|^{p-2}u')(0), $ $ -(|u'|^{p-2}u')(T))$ $\in \partial j(u(0), u(T)),$
where $\varepsilon \geq 0$, $p \in (1, \infty)$ are fixed, the convex function $j:\mathbb R^N \times \mathbb R^N \to (- \infty , +\infty ]$ is proper, even, lower semicontinuous and $F:(0,T) \times \mathbb R^N \to \mathbb R $ is a Carathéodory mapping, continuously differentiable and even with respect to the second variable.
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