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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.
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참고문헌 (12)
참고문헌 신청
A. Abolarinwa / 2014 / The first eigenvalue of p-Laplacian and gometric estimates / Nonl. Anal-ysis and Differential Equations 2(3):105~115
N. Benouhiba / 2012 / A class of eigenvalue problems for the (p; q)-Laplacian in RN / Int. J. Pure Appl. Math. 80(5):727~737
I. Chavel / 1984 / Eigenvalues in Riemannian geometry / Pure and Applied Mathematics 115
S. Y. Cheng / 1973 / Eigenfunctions and eigenvalues of Laplacian;Differential geometry / Proc. Sympos. Pure Math. XXVII:185~193
Q.-M. Cheng / 2005 / Estimates on eigenvalues of Laplacian / Math. Ann. 331(2):445~460
N. Benouhiba / 2012 / A class of eigenvalue problems for the (p; q)-Laplacian in RN / Int. J. Pure Appl. Math. 80(5):727~737
I. Chavel / 1984 / Eigenvalues in Riemannian geometry / Pure and Applied Mathematics 115
S. Y. Cheng / 1973 / Eigenfunctions and eigenvalues of Laplacian;Differential geometry / Proc. Sympos. Pure Math. XXVII:185~193
Q.-M. Cheng / 2005 / Estimates on eigenvalues of Laplacian / Math. Ann. 331(2):445~460
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