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On a class of nonlinear problems involving a $p(x)$-Laplace type operator
We study the boundary value problem $-{\mathrm div}((|\nabla u|^{p_1(x) -2}+|\nabla u|^{p_2(x)-2})\nabla u)=f(x,u)$ in $\Omega $, $u=0$ on $\partial \Omega $, where $\Omega $ is a smooth bounded domain in ${\mathbb{R}} ^N$. Our attention is focused on two cases when $f(x,u)=\pm (-\lambda |u|^{m(x)-2}u+|u|^{q(x)-2}u)$, where $m(x)=\max \lbrace p_1(x),p_2(x)\rbrace $ for any $x\in \overline{\Omega }…
Creator
- Mihăilescu, Mihai
Subject
- $p(x)$-Laplace operator
- generalized Lebesgue-Sobolev space
- critical point
- weak solution
- electrorheological fluid
Type of item
- model:article
Creator
- Mihăilescu, Mihai
Subject
- $p(x)$-Laplace operator
- generalized Lebesgue-Sobolev space
- critical point
- weak solution
- electrorheological fluid
Type of item
- model:article
Providing institution
Aggregator
Rights statement for the media in this item (unless otherwise specified)
- http://creativecommons.org/publicdomain/mark/1.0/
Rights
- policy:public
Place-Time
- 155-172
Source
- Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:1
Identifier
- uuid:851cd1ef-3c4d-4248-8284-a15ad05e55f7
- https://cdk.lib.cas.cz/client/handle/uuid:851cd1ef-3c4d-4248-8284-a15ad05e55f7
- uuid:851cd1ef-3c4d-4248-8284-a15ad05e55f7
Format
- bez média
- svazek
Language
- eng
- eng
Providing country
- Czech Republic
Collection name
First time published on Europeana
- 2021-06-01T12:19:28.026Z
Last time updated from providing institution
- 2021-06-01T12:19:28.026Z