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The weak supersolution-subsolution method for second order quasilinear elliptic equations. (English) Zbl 0735.35056
The goal of this paper is to develop the method of supersolutions and subsolutions for constructing weak solutions of the following elliptic Dirichlet problem $-\text{div} A(v,\nabla u)+B(x,u,\nabla u)=0 \text{ in } \Omega,\quad u=g \text{ on } \partial\Omega,$ where $$\Omega$$ is either a bounded domain, or an exterior domain in $$\mathbb{R}^ N$$.

MSC:
 35J65 Nonlinear boundary value problems for linear elliptic equations 35D05 Existence of generalized solutions of PDE (MSC2000)