Calahorrano Recalde, Marco; Mayorga Zambrano, Juan A discontinuous problem with quasilinear operator. (Spanish. English summary) Zbl 1031.35046 Rev. Colomb. Mat. 35, No. 1, 1-11 (2001). Summary: We find conditions on the functions \(q\), \(f\) and \(h\) that allow us to prove the existence of weak solutions to the problem \(-\Delta_pu= h(x) f(u)+ q(x)\) on \(\Omega\); \(u= 0\) on \(\partial\Omega\). Cited in 1 Document MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35J20 Variational methods for second-order elliptic equations 35J60 Nonlinear elliptic equations 35D05 Existence of generalized solutions of PDE (MSC2000) Keywords:nonlinear; elliptic; partial differential equation; boundary value PDFBibTeX XMLCite \textit{M. Calahorrano Recalde} and \textit{J. Mayorga Zambrano}, Rev. Colomb. Mat. 35, No. 1, 1--11 (2001; Zbl 1031.35046) Full Text: EuDML