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math.AP2022
Mean value properties of solutions to the modified Helmholtz equation and related topics (a survey)
Nikolay Kuznetsov
Recent results concerning solutions of the modified Helmholtz equation are reviewed; namely, various mean value properties and their corollaries, converse and inverse of these prop…
math.AP2022
On relations between harmonic functions and solutions of the modified Helmholtz equation
Nikolay Kuznetsov
We consider the -dimensional modified Helmholtz equation and establish two relations between its solutions in a bounded domain and harmonic functions. Both relations essentially…