Abstract
Abstract In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C 1 {C^{1}} -functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u ↦ div ( ∇ u 1 - | ∇ u | 2 ) {u\mapsto\operatorname{div}(\frac{\nabla u}{\sqrt{1-|\nabla u|^{2}}})} . The solvability of a general non-potential system is also established.
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