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The first eigenvalue of some $(p,q)$-Laplacian and geometric estimates

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We study the nonlinear eigenvalue problem for some of the $(p,q)$-Laplacian on compact manifolds with zero boundary condition. In particular, we obtain some geometric estimates for the first eigenvalue.

Abstract

We study the nonlinear eigenvalue problem for some of the $(p,q)$-Laplacian on compact manifolds with zero boundary condition. In particular, we obtain some geometric estimates for the first eigenvalue.

참고문헌 (12)

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  10. P. Li, "Geometric analysis;Cambridge Studies in Advanced Mathematics", pp.134~ (2012), Cam-bridge University Press
  11. A.-M. Matei, "First eigenvalue for the p-Laplace operator", Nonlinear Anal. Ser. A: Theory Methods, 39(8), pp.1051~1068 (2000)[DOI]
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