The sub-supersolution method for weak solutions

Weak Harnack Inequality for the Non–negative Weak Supersolution of Quasilinear Elliptic Equation

We introduce and study the classes P̃p (Rn) as well as Pp (Rn) , which are generalization of the Kato class. We also obtain a Fefferman inequality for the class P̃p (Rn) and derive the weak Harnack inequality. Mathematics subject classification (2010): Primary 46E35; Secondary 31B10, 35A32, 39B72.

A Subsolution-supersolution Method for Quasilinear Systems

Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.

Weak coupling of solutions of first-order least-squares method

A theoretical analysis of a first-order least-squares finite element method for second-order self-adjoint elliptic problems is presented. We investigate the coupling effect of the approximate solutions uh for the primary function u and σh for the flux σ = −A∇u. We prove that the accuracy of the approximate solution uh for the primary function u is weakly affected by the flux σ = −A∇u. That is, ...

On Weak Solutions of The

Using necessarily weak efficient solutions for solving a biobjective transportation problem with fuzzy objective functions coefficients

This paper considers a biobjective transportation problem with various fuzzy objective functions coefficients. Fuzzy coefficients can be of different types such as triangular, trapezoidal, (semi) $L-R$, or flat (semi) $L-R$ fuzzy numbers. First, we convert the problem to a parametric interval biobjective transportation problem using $gamma$-cuts of fuzzy coefficients. Then, we consider a fix $g...