Unique continuation for solutions of p(x)-Laplacian equations
We study the unique continuation property for solutions to the quasilinear elliptic equation $$ hbox{div}(|abla u|^{p(x)-2}abla u) +V(x)|u|^{p(x)-2}u=0quad hbox{in }Omega, $$ where $Omega$ is a smooth bounded domain in $mathbb{R}^N$ and $1<p(x)<N $ for $x$ in $Omega$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2012-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/07/abstr.html |
| _version_ | 1811320403271876608 |
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| author | Johnny Cuadro Gabriel Lopez G. |
| author_facet | Johnny Cuadro Gabriel Lopez G. |
| author_sort | Johnny Cuadro |
| collection | DOAJ |
| description | We study the unique continuation property for solutions to the quasilinear elliptic equation $$ hbox{div}(|abla u|^{p(x)-2}abla u) +V(x)|u|^{p(x)-2}u=0quad hbox{in }Omega, $$ where $Omega$ is a smooth bounded domain in $mathbb{R}^N$ and $1<p(x)<N $ for $x$ in $Omega$. |
| first_indexed | 2024-04-13T12:58:02Z |
| format | Article |
| id | doaj.art-ddc4f275e850412a8b9d2c2074eab4ad |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T12:58:02Z |
| publishDate | 2012-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-ddc4f275e850412a8b9d2c2074eab4ad2022-12-22T02:45:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-01-01201207,112Unique continuation for solutions of p(x)-Laplacian equationsJohnny CuadroGabriel Lopez G.We study the unique continuation property for solutions to the quasilinear elliptic equation $$ hbox{div}(|abla u|^{p(x)-2}abla u) +V(x)|u|^{p(x)-2}u=0quad hbox{in }Omega, $$ where $Omega$ is a smooth bounded domain in $mathbb{R}^N$ and $1<p(x)<N $ for $x$ in $Omega$.http://ejde.math.txstate.edu/Volumes/2012/07/abstr.htmlp(x)-Laplace operatorunique continuation |
| spellingShingle | Johnny Cuadro Gabriel Lopez G. Unique continuation for solutions of p(x)-Laplacian equations Electronic Journal of Differential Equations p(x)-Laplace operator unique continuation |
| title | Unique continuation for solutions of p(x)-Laplacian equations |
| title_full | Unique continuation for solutions of p(x)-Laplacian equations |
| title_fullStr | Unique continuation for solutions of p(x)-Laplacian equations |
| title_full_unstemmed | Unique continuation for solutions of p(x)-Laplacian equations |
| title_short | Unique continuation for solutions of p(x)-Laplacian equations |
| title_sort | unique continuation for solutions of p x laplacian equations |
| topic | p(x)-Laplace operator unique continuation |
| url | http://ejde.math.txstate.edu/Volumes/2012/07/abstr.html |
| work_keys_str_mv | AT johnnycuadro uniquecontinuationforsolutionsofpxlaplacianequations AT gabriellopezg uniquecontinuationforsolutionsofpxlaplacianequations |