Existence of solutions for some quasilinear $\vec{p}(x)$-elliptic problem with Hardy potential
We consider the anisotropic quasilinear elliptic Dirichlet problem \begin{cases} \displaystyle-\sum_{i=1}^N D^i a_i(x,u,\nabla u) + |u|^{s(x)-1}u= f +\lambda\frac{|u|^{p_0(x)-2}u}{|x|^{p_0(x)}}&\text{in} \Omega, u = 0 & \text{on} \partial\Omega, \end{cases} where $\Omega$ is an open...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2019-10-01
|
| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/144/3/mb144_3_6.pdf |