Drábek, Pavel; Simader, Christian G. On general solvability properties of \(p\)-Laplacian-like equations. (English) Zbl 1030.35058 Math. Bohem. 127, No. 1, 103-122 (2002). Summary: We discuss how the choice of the functional setting and the definition of the weak solution affect the existence and uniqueness of the solution to the equation \[ -\Delta _p u = f \text{ in } \Omega , \] where \(\Omega \) is a very general domain in \(\mathbb R ^N\), including the case \(\Omega = \mathbb R ^N\). Cited in 1 Document MSC: 35J60 Nonlinear elliptic equations 35J20 Variational methods for second-order elliptic equations Keywords:quasilinear elliptic equations; weak solutions; solvability; existence; uniqueness PDF BibTeX XML Cite \textit{P. Drábek} and \textit{C. G. Simader}, Math. Bohem. 127, No. 1, 103--122 (2002; Zbl 1030.35058) Full Text: EuDML