A singular semilinear problem with dependence on the gradient

作者：Faraci Francesca; Puglisi Daniele

来源：Journal of Differential Equations, 2016, 260(4): 3327-3349.

DOI：10.1016/j.jde.2015.10.031

• Weak and classical solutions
• Singularity
• Dependence on the gradient
• Variational methods
• Fixed point theory

In the present paper we study the problem of finding classical and weak solutions for a semilinear elliptic equation involving a singular term and a nonlinearity depending on the gradient. The approach we follow, based on a suitable combination of sub-supersolutions techniques and fixed point theory, is not quite the same in the two cases and requires different kind of assumptions.

• 出版日期2016-2-15