Sandpile Solitons via Smoothing of Superharmonic Functions

Communications in Mathematical Physics ◽

10.1007/s00220-020-03828-8 ◽

2020 ◽

Vol 378 (3) ◽

pp. 1649-1675 ◽

Author(s):

Nikita Kalinin ◽

Mikhail Shkolnikov

Keyword(s):

Superharmonic Functions

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Boundary Growth Rates and Exceptional Sets for Superharmonic Functions on the Real Hyperbolic Ball

Journal of Geometric Analysis ◽

10.1007/s12220-021-00657-6 ◽

2021 ◽

Author(s):

Kentaro Hirata

Keyword(s):

Growth Rates ◽

The Real ◽

Exceptional Sets ◽

Superharmonic Functions

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Integrability of Superharmonic Functions on Holder Domains of the Plane

Proceedings of the American Mathematical Society ◽

10.2307/2159537 ◽

1993 ◽

Vol 117 (4) ◽

pp. 1083

Author(s):

Makoto Masumoto

Keyword(s):

Superharmonic Functions

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A-superharmonic functions and supersolutions of degenerate elliptic equations

Arkiv för matematik ◽

10.1007/bf02386110 ◽

1988 ◽

Vol 26 (1-2) ◽

pp. 87-105 ◽

Author(s):

J. Heinonen ◽

T. Kilpeläinen

Keyword(s):

Elliptic Equations ◽

Degenerate Elliptic Equations ◽

Superharmonic Functions ◽

Degenerate Elliptic

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The Riesz decomposition of finely superharmonic functions

Advances in Mathematics ◽

10.1016/j.aim.2007.02.012 ◽

2007 ◽

Vol 214 (1) ◽

pp. 417-436 ◽

Author(s):

Stephen J. Gardiner ◽

Wolfhard Hansen

Keyword(s):

Superharmonic Functions ◽

Riesz Decomposition

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Superharmonic functions in $\mathbf{R}^n$ and the Penrose inequality in general relativity

Communications in Analysis and Geometry ◽

10.4310/cag.2002.v10.n5.a5 ◽

2002 ◽

Vol 10 (5) ◽

pp. 999-1016 ◽

Author(s):

Hubert L. Bray ◽

Kevin Iga

Keyword(s):

General Relativity ◽

Penrose Inequality ◽

Superharmonic Functions

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On existence of Green function and positive superharmonic functions for linear elliptic operators of second order

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/01640299 ◽

1964 ◽

Vol 16 (4) ◽

pp. 299-306 ◽

Author(s):

Seizo ITO

Keyword(s):

Green Function ◽

Elliptic Operators ◽

Second Order ◽

Superharmonic Functions

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An obstacle problem and superharmonic functions with nonstandard growth

Nonlinear Analysis ◽

10.1016/j.na.2006.10.026 ◽

2007 ◽

Vol 67 (12) ◽

pp. 3424-3440 ◽

Author(s):

P. Harjulehto ◽

P. Hästö ◽

M. Koskenoja ◽

T. Lukkari ◽

N. Marola

Keyword(s):

Obstacle Problem ◽

Nonstandard Growth ◽

Superharmonic Functions

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Integrability of superharmonic functions in a John domain

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-99-04991-6 ◽

1999 ◽

Vol 128 (1) ◽

pp. 195-201 ◽

Author(s):

Hiroaki Aikawa

Keyword(s):

John Domain ◽

Superharmonic Functions

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Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions

Mathematische Annalen ◽

10.1007/s002080050223 ◽

1998 ◽

Vol 312 (2) ◽

pp. 289-318 ◽

Author(s):

Hiroaki Aikawa

Keyword(s):

Green Function ◽

Green Operator ◽

Norm Estimate ◽

Superharmonic Functions

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On the Extension of Superharmonic Functions

Journal of the London Mathematical Society ◽

10.1112/jlms/s2-4.2.215 ◽

1971 ◽

Vol s2-4 (2) ◽

pp. 215-230

Author(s):

D. H. Armitage

Keyword(s):

Superharmonic Functions

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