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The method of sub and supersolutions for a (p, q)-laplaciano type system.

, 2013
Jose Eduardo Marques Carneiro da [UNIFESP] Silva
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Subsolution–supersolution method in variational inequalities

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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On a sub-supersolution method for the prescribed mean curvature problem [PDF]

Czechoslovak Mathematical Journal, 2008
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Vy Khoi Le
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ON LEAST SUPERSOLUTIONS FOR A PROBLEM WITH AN OBSTACLE

Mathematics of the USSR-Izvestiya, 1973
The existence of a least supersolution on a closed convex set of functions is proved for certain classes of quasilinear elliptic and parabolic equations. Such a least supersolution is a solution of a variational inequality.
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Smallest g-supersolution with constraint

Applied Mathematics-A Journal of Chinese Universities, 2000
This paper studies the backward stochastic differential equation \[ Y_t = \xi + \int_t^T g(s,Y_s,Z_s) ds + A_T-A_t - \int_t^T Z_s dW_s \] with the constraint \(\varphi(t,Y_t,Z_t)\equiv 0\). Assuming the existence of a solution satisfying additional integrability requirements, the author shows the existence of a unique minimal solution within this class.
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On the growth of supersolutions of nonlinear PDE’s on exterior domains

Nonlinear Analysis, 2016
The authors obtain a comparison principle on annuli, with ``catenoid-like'' functions, for supersolutions of non-linear elliptic PDEs \[ L_\phi(u)=\mathrm{div} (|\nabla u|^{-1}\phi(|\nabla u|)\nabla u)\leq 0\leq L_\phi(v_1) \] over exterior domains in a non-positively curved manifold with a pole.
Impera, Debora, Pigola, Stefano
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The sub- and supersolution method for variational–hemivariational inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2008
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The Limitation Theorem of g-Supersolution for BSDEs

Advanced Materials Research, 2013
The author discusses the limitation theorem of g - supersolution for BSDEs under non-Lipschitzian coefficient. In order to get the result, the author investigates the existence and uniqueness of solution for a class BSDEs with the same drift coefficient g, and also obtain the comparison theorem.
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Nonlinear superharmonic functions and supersolutions

Journal of Fixed Point Theory and Applications, 2013
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Shape supersolutions and quasi-minimizers

2015
In this chapter we consider measurable sets Ω ⊂ ℝ d , which are optimal for some given shape functional ℱ, with respect to external perturbations, i.e.
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