On weak solutions for \(p\)-Laplacian equations with weights
Summary: We summarize the results obtained in the forthcoming papers [the authors, Ann. Inst. Henri Poncaré, Anal. Non Linéaire 25, No. 3, 505--537 (2008; Zbl 1147.35045); Indiana Univ. Math. J. 57, No. 7, 3329--3364 (2008; Zbl 1171.35057)], in which we prove existence and non-existence theorems of weak solutions of quasilinear singular elliptic equations with weights. We also establish regularity and qualitative properties of the solutions.
scientific article; zbMATH DE number 5292680