Reliable Solution of a Quasilinear Nonpotential Elliptic Problem of a Nonmonotone Type with Respect to the Uncertainty in Coefficients

✍ Scribed by Ivan Hlaváček

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 227 KB
• Volume: 212
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1997.5518

✦ Synopsis

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.