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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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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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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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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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Existence Results for Some Anisotropic Singular Problems via Sub-supersolutions

Milan Journal of Mathematics, 2019
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dos Santos, Gelson C. G., Figueiredo, Giovany M., Tavares, Leandro S.   +2 more
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SMALLEST g-SUPERSOLUTION FOR BSDE WITH CONTINUOUS DRIFT COEFFICIENTS

Chinese Annals of Mathematics, 2000
The authors discuss a one-dimensional backward differential equation with continuous and linear drift coefficient and with square integrable terminal conditions. The existence and uniqueness of the smallest \(g\)-supersolution is proved when the constraint satisfies a Lipschitz condition.
Lin, Qingquan, Peng, Shige
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Some notes on supersolutions of fractional p-Laplace equation

Journal of Mathematical Analysis and Applications, 2018
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The sub- and supersolution method for variational–hemivariational inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2008
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Capacity and 2nd order semilinear elliptic supersolutions

Nonlinear Analysis: Theory, Methods & Applications, 1985
Let L be a second order elliptic operator, N be the Nemitsky operator under usual Caratheodory assumptions, \(F\in W^{-1,2}(\Omega)\) and \(f\in L^ 1(\Omega).\) A compact subset \(Z\subset \Omega\) is called removable for the inequality \(Lu+Nu+F\geq f\) in \(W^{1,2}(\Omega)\) if from \(Lu+Nu+F\geq f\) in \(\Omega_{\bar Z}Z\), we obtain \(Lu+Nu+F\geq f\
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