LAUSR

Neumann problems of 2D Laplace's equation by method of fundamental solutions

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1 Published in 2017 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2017.04.004

Abstract: Abstract The method of fundamental solutions (MFS) was first used by Kupradze in 1963 [21] . Since then, there have appeared numerous reports of the MFS. Most of the existing analysis for the MFS are… read more here.

Keywords: fundamental solutions; analysis; method fundamental; problems laplace ... See more keywords

Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

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0 Published in 2020 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2020.1843447

Abstract: We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect… read more here.

Keywords: monge amp; laplace generalized; generalized monge; problems laplace ... See more keywords