On the Optimal Growth of Functions with Bounded Laplacian
Date
2000-01-01
Authors
Karp, Lavi
Shahgholian, Henrik
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Using a compactness argument, we introduce a Phragmen Lindelof type theorem for functions with bounded Laplacian. The technique is very useful in studying unbounded free boundary problems near the infinity point and also in approximating integrable harmonic functions by those that decrease rapidly at infinity. The method is flexible in the sense that it can be applied to any operator which admits the standard elliptic estimate.
Description
Keywords
Optimal growth, Bounded Laplacian, Linear and semi-linear operators, Capacity density condition
Citation
Karp, L., & Shahgholian, H. (2000). On the optimal growth of functions with bounded Laplacian. <i>Electronic Journal of Differential Equations, 2000</i>(3), pp. 1-9.
Rights
Attribution 4.0 International