科研之友
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摘要
We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if (lambda) over cap (1) > 0 is the first eigenvalue of the periodic scalar p-Laplacian and lambda > (lambda) over cap (1), then the problem has at least three nontrivial solutions one positive, one negative and the third nodal. Our approach is variational together with suitable truncation, perturbation and comparison techniques.
- 出版日期2014-5
