Abstract
AbstractThe aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the isoperimetric inequality. Finally, uniqueness results for weak solutions are given.
Highlights
In this work, we restrict our attention to the study of a class of quasilinear elliptic problem with a singular nonlinearity and data measure namely −∆u = a(x) uγ + b(x)|∇u|p + λf in Ω, (Pλ) u > in Ω, u =
We restrict our attention to the study of a class of quasilinear elliptic problem with a singular nonlinearity and data measure namely a(x) uγ
The study of nonlinear elliptic problems with singular nonlinearities is motivated by its various applications in many elds
Summary
We restrict our attention to the study of a class of quasilinear elliptic problem with a singular nonlinearity and data measure namely. The study of nonlinear elliptic problems with singular nonlinearities is motivated by its various applications in many elds. We can mention uid mechanics, newtonian uids, and glaciology [14]. They are applicable to model problems arising from boundary layer phenomena for viscous uids and chemical heterogeneous catalysts. They can be regarded as mathematical models of electrostatic MEMS devices or Micro-Electro Mechanical systems [20]
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