Subsolution - Open Access .click

Nonlinear Analysis: Theory, Methods & Applications, 2001
The subsolution-supersolution method for equations is extended to a class of elliptic variational inequalities of the type \[ \int_\Omega A(x,\nabla u) \cdot(\nabla v-\nabla u)\;dx\geq \int_\Omega F(x,u)(v-u)\;dx \] $\forall v\in K, \;K\subset W^{1,p}(\Omega),$ closed convex. Under additional assumptions on $K$, the author proves the existence of a
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Subsolution theorem and the Dirichlet problem for the quaternionic Monge–Ampère equation [PDF]

Mathematische Zeitschrift, 2020
In this paper, the author studies quaternionic Monge-Ampère equations and obtain the existence of the solutions to the Dirichlet problem for such equations in strictly pesudoconvex domains in quaternionic space. The stability and subsolution theorems are established for quaternionic Monge-Ampère equations.
Dongrui Wan
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Subsolutions for abstract evolution equations

Potential Analysis, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barthélémy, Louise, Bénilan, Philippe
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mathematics
mathematical analysis
physics

pure mathematics
quantum mechanics
applied mathematics

supersolution
dirichlet problem
computer science