Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients. (English) Zbl 0919.35047

Summary: A quasilinear elliptic equation with mixed nonlinear boundary conditions is considered, where the admissible coefficients are given in a certain interval. We are looking for maximal values of the solution with respect to the set of admissible coefficients. The existence of a maximal solution is proven both in the continuous and in a discretized formulation. Some convergence analysis is also presented. \(\copyright\) Academic Press.


35J65 Nonlinear boundary value problems for linear elliptic equations
35A35 Theoretical approximation in context of PDEs
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