On an A Priori Estimate for Solutions of an Elliptic Equation
β Scribed by M. Faierman
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 613 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
In the investigation of the spectral theory of nonβselfadjoint elliptic boundary value problems involving an indefinite weight function, there arises the problem of obtaining L^p^ a priori estimates for solutions about points of discontinuity of the weight function. Here we deal with this problem for the case where the weight function vanishes on a set of positive measure.
π SIMILAR VOLUMES
In this paper, we are concerned with the following eigenvalue problem: domain and -Ap is the degenerate p-Laplace operator with p > 1. An interesting special m e is when f = ( P ( Z ) ~U I ~~-~U + ~( ~) I U ( Q ~-~U , 0 < q1 < q2. By using the suband supersolutions method and the variational metho
## Abstract We derive a priori interior Hessian estimates for special Lagrangian equations when the potential is convex. When the phase is very large, we show that continuous viscosity solutions are smooth in the interior of the domain. Β© 2008 Wiley Periodicals, Inc.