Complete Structure of the Fucik Spectrum of the p-Laplacian with Integrable Potentials

来源 :2015年微分方程与动力系统研讨会 | 被引量 : 0次 | 上传用户:wsgray
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  In this paper,we study the p-Laplacian with integrable potentials on an interval under the Dirichlet boundary conditions.Based on the strong continuity and continuous dierentiability of solutions in potentials,we will give a comprehensive characterization of the corresponding Fuck spectra: each of them is composed of two trivial lines and a double-sequence of dierentiable,strictly decreasing,hyperbolic-like curves; all asymptotic lines of these spectral curves are precisely described by using eigenvalues of the p-Laplacian with potentials; and moreover,all these spectral curves have strong continuity in potentials.
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