Resolution of the critical cases for problems with \(L^ 1\)-data. (English) Zbl 0793.35042

Summary: We introduce a new type of sets for problems with \(L^ 1\)-data associated with the standard Leray-Lions operator. The solutions cannot be found in the usual Sobolev spaces.


35J70 Degenerate elliptic equations
35R05 PDEs with low regular coefficients and/or low regular data
35D05 Existence of generalized solutions of PDE (MSC2000)