The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash

2006 ◽  
pp. 275-307
Keyword(s):  
Iteration Method ◽  
Regularity Theorem ◽  
Moser Iteration

Asymptotic Properties of Solutions to Semilinear Equations Involving Multiple Critical Exponents

2012 ◽  
Vol 55 (3) ◽  
pp. 537-547
Author(s):  
Dongsheng Kang
Keyword(s):  
Elliptic Equation ◽  
Critical Exponents ◽  
Iteration Method ◽  
Asymptotic Properties ◽  
Semilinear Elliptic Equation ◽  
Nontrivial Solutions ◽  
Moser Iteration ◽  
Semilinear Equations ◽  
Semilinear Elliptic ◽  
Hardy Type

AbstractIn this paper, we investigate a semilinear elliptic equation that involves multiple Hardy-type terms and critical Hardy–Sobolev exponents. By the Moser iteration method and analytic techniques, the asymptotic properties of its nontrivial solutions at the singular points are investigated.

scholarly journals An application of Moser iteration to complete minimal submanifolds in a sphere

2004 ◽  
Vol 76 (2) ◽  
pp. 151-166
Author(s):  
Leung-Fu Cheung ◽  
Pui-Fai Leung
Keyword(s):  
Hyperbolic Space ◽  
Fundamental Form ◽  
Ricci Curvature ◽  
Iteration Method ◽  
Total Curvature ◽  
Minimal Submanifolds ◽  
Second Fundamental Form ◽  
Minimal Submanifold ◽  
Moser Iteration ◽  
The Second Fundamental Form

AbstractWe apply the Moser iteration method to obtain a pointwise bound on the norm of the second fundamental form from a bound on its Ln norm for a complete minimal submanifold in a sphere. As an application we show that a complete minimal submanifold in a sphere with finite total curvature and Ricci curvature bounded away from -∞ must be compact. This complements similar results of Osserman and Oliveira in the case the ambient space is the Euclidean and the hyperbolic space respectively.

An Iteration Method for Complex Scattering Problems.

1984 ◽  
Author(s):  
M. Kaye ◽  
P. K. Murthy ◽  
G. A. Thiele
Keyword(s):  
Iteration Method ◽  
Scattering Problems
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