scholarly journals Weak Barriers in Nonlinear Potential Theory

2007 ◽  
Vol 27 (4) ◽  
pp. 381-387 ◽  
Author(s):  
Anders Björn
Keyword(s):  
Potential Theory ◽  
Nonlinear Potential Theory ◽  
Nonlinear Potential

scholarly journals Nonlinear potentials in function spaces

2002 ◽  
Vol 165 ◽  
pp. 91-116 ◽  
Author(s):  
Murali Rao ◽  
Zoran Vondraćek
Keyword(s):  
Banach Space ◽  
Potential Theory ◽  
Finite Energy ◽  
Duality Mapping ◽  
Quadratic Functional ◽  
Continuous Linear ◽  
Linear Functionals ◽  
Nonlinear Potential Theory ◽  
Nonlinear Potential ◽  
Nonlinear Potentials

We introduce a framework for a nonlinear potential theory without a kernel on a reflexive, strictly convex and smooth Banach space of functions. Nonlinear potentials are defined as images of nonnegative continuous linear functionals on that space under the duality mapping. We study potentials and reduced functions by using a variant of the Gauss-Frostman quadratic functional. The framework allows a development of other main concepts of nonlinear potential theory such as capacities, equilibrium potentials and measures of finite energy.

On the Edge Singularity of an Actuator Disk with Large Constant Normal Load

1977 ◽  
Vol 21 (02) ◽  
pp. 125-131
Author(s):  
G. H. Schmidt ◽  
J. A. Sparenberg
Keyword(s):  
Potential Theory ◽  
Normal Load ◽  
Curved Surface ◽  
Singular Behavior ◽  
Nonlinear Potential Theory ◽  
Edge Singularity ◽  
Actuator Disk ◽  
Nonlinear Potential ◽  
Constant Normal Load ◽  
Special Case

In this paper some aspects of the nonlinear potential theory of actuator disks are considered. A rather general formulation of the problem for a prescribed load on a curved surface is given. For the special case of constant normal load and no incoming velocity the singular behavior of the flow at the edge of the disk is discussed.

scholarly journals Thin sets in nonlinear potential theory

1983 ◽  
Vol 33 (4) ◽  
pp. 161-187 ◽  
Author(s):  
Lars-Inge Hedberg ◽  
Thomas H. Wolff
Keyword(s):  
Potential Theory ◽  
Nonlinear Potential Theory ◽  
Nonlinear Potential ◽  
Thin Sets
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