Lei, Jingan; Sun, Lelin Approximate solutions for multivalued quasilinear elliptic differential equations. (Chinese. English summary) Zbl 0898.35038 J. Wuhan Univ., Nat. Sci. Ed. 43, No. 5, 598-604 (1997). Summary: As a model for nonlinear multivalued elliptic differential equations, a boundary value problem for a multivalued quasilinear elliptic differential equation of the form \(-\Delta u\in f(x,u)\) in \(\Omega\), \(u=0\) on \(\partial \Omega\) is discussed. The existence and convergence of approximate solutions are proved. A numerical realization is given for some examples. Cited in 3 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35R70 PDEs with multivalued right-hand sides 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 65N99 Numerical methods for partial differential equations, boundary value problems 35A35 Theoretical approximation in context of PDEs Keywords:numerical examples; multivalued operator PDFBibTeX XMLCite \textit{J. Lei} and \textit{L. Sun}, J. Wuhan Univ., Nat. Sci. Ed. 43, No. 5, 598--604 (1997; Zbl 0898.35038)