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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,315 - 1,325 (11page)
- DOI
- 10.4134/BKMS.b200170
이용수
초록· 키워드
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In this paper, we firstly prove some general inequalities for the Neumann eigenvalues for domains contained in a Euclidean $n$-space $\R^n$. Using the general inequalities, we can derive some new Neumann eigenvalues estimates which include an upper bound for the $(k+1)^{th}$ eigenvalue and a new estimate for the gap of the consecutive eigenvalues. Moreover, we give sharp lower bound for the first eigenvalue of two kinds of eigenvalue problems of the biharmonic operator with Navier boundary condition on compact Riemannian manifolds with boundary and positive Ricci curvature.
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참고문헌 (11)
참고문헌 신청
Daguang Chen / 2012 / On eigenvalues of a system of elliptic equations and of the biharmonic operator / Journal of Mathematical Analysis and Applications 387(2):1146~1159
F.R.K. Chung / 1996 / Upper Bounds for Eigenvalues of the Discrete and Continuous Laplace Operators / Advances in Mathematics 117(2):165~178
E. M. Harrell, II / 1995 / Commutator bounds for eigenvalues of some differential operators, in Evolution equations / Dekker :235~244
G. Hile / 1980 / Inequalities for eigenvalues of the Laplacian / Indiana University Mathematics Journal 29(4):523~538
Saïd Ilias / 2010 / Universal inequalities for the eigenvalues of a power of the Laplace operator / manuscripta mathematica 132(1-2):75~102
F.R.K. Chung / 1996 / Upper Bounds for Eigenvalues of the Discrete and Continuous Laplace Operators / Advances in Mathematics 117(2):165~178
E. M. Harrell, II / 1995 / Commutator bounds for eigenvalues of some differential operators, in Evolution equations / Dekker :235~244
G. Hile / 1980 / Inequalities for eigenvalues of the Laplacian / Indiana University Mathematics Journal 29(4):523~538
Saïd Ilias / 2010 / Universal inequalities for the eigenvalues of a power of the Laplace operator / manuscripta mathematica 132(1-2):75~102
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