Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders
Abstract We consider the following elliptic problem: { − div ( | ∇ u | p − 2 ∇ u | y | a p ) = | u | q − 2 u | y | b q + f ( x ) in Ω , u = 0 on ∂ Ω , $$ \textstyle\begin{cases} -\operatorname{div} ( \frac{ \vert \nabla u \vert ^{p-2} \nabla u}{ \vert y \vert ^{ap}} ) = \frac { \vert u \vert ^{q-2...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-04-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0783-z |