## Abstract In this paper we study the existence of radial solutions for Neumann problems in a ball and in an annular domain, associated to mean curvature operators in Euclidean and Minkowski spaces. Our approach relies on the LerayβSchauder degree together with some fixed point reformulations of o
Dirichlet and Neumann Eigenvalue Problems on Domains in Euclidean Spaces
β Scribed by A Laptev
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 369 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0022-1236
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β¦ Synopsis
We obtain here some inequalities for the eigenvalues of Dirichlet and Neumann value problems for general classes of operators (or system of operators) acting in
1997 Academic Press
The constant on the right hand side of (1.2) cannot be improved because it coincides with the asymptotical constant for the sum in the left hand side of (1.2) as k Γ .
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We continue a program to develop layer potential techniques for PDE on Lipschitz domains in Riemannian manifolds. Building on L p and Hardy space estimates established in previous papers, here we establish Sobolev and Besov space estimates on solutions to the Dirichlet and Neumann problems for the L