Weakly-coercive quasilinear elliptic equations with inhomogeneous measure data. (English) Zbl 0821.35045

Bandle, C. (ed.) et al., Progress in partial differential equations: elliptic and parabolic problems. Proceedings of the first European conference on elliptic and parabolic problems held in Pont-à-Mousson, France, June 1991. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 266, 182-192 (1992).
Summary: We extend a result of existence of weak solutions to a Dirichlet problem for a class of quasilinear elliptic operators which are weakly coercive with the lower order terms and depend on \(u\) and \(Du\) nonlinearly. The free term of the equation only belongs to the set of bounded measures.
For the entire collection see [Zbl 0782.00049].


35J60 Nonlinear elliptic equations
35B45 A priori estimates in context of PDEs