Existence and regularity of solutions to a quasilinear elliptic problem involving variable sources
Abstract The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation − div ( | ∇ u | p − 2 ∇ u ) = f ( x ) u α ( x ) $-\operatorname{div}(|\nabla u|^{p-2}\nabla u)=\frac{f(x)}{u ^{\alpha(x)}}$ with f ∈ L m ( Ω ) $f\in L^{m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0888-4 |