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http://hdl.handle.net/10773/15597
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DC Field | Value | Language |
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dc.contributor.author | Leonetti, Francesco | pt |
dc.contributor.author | Rocha, Eugénio | pt |
dc.contributor.author | Staicu, Vasile | pt |
dc.date.accessioned | 2016-05-30T11:57:06Z | - |
dc.date.issued | 2016-05 | - |
dc.identifier.issn | 0362-546X | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15597 | - |
dc.description.abstract | We study the existence of solutions of quasilinear elliptic systems involving $N$ equations and a measure on the right hand side, with the form $$\left\{\begin{array}{ll} -\sum_{i=1}^n \frac{\partial}{\partial x_i}\left(\sum\limits_{\beta=1}^{N}\sum\limits_{j=1}^{n}% a_{i,j}^{\alpha,\beta}\left( x,u\right)\frac{\partial}{\partial x_j}u^\beta\right)=\mu^\alpha& \mbox{ in }\Omega ,\\ u=0 & \mbox{ on }\partial\Omega, \end{array}\right.$$ where $\alpha\in\{1,\dots,N\}$ is the equation index, $\Omega$ is an open bounded subset of $\mathbb{R}^{n}$, $u:\Omega\rightarrow\mathbb{R}^{N}$ and $\mu$ is a finite Randon measure on $\mathbb{R}^{n}$ with values into $\mathbb{R}^{N}$. Existence of a solution is proved for two different sets of assumptions on $A$. Examples are provided that satisfy our conditions, but do not satisfy conditions required on previous works on this matter. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | FCT - PEst-OE/MAT/UI4106/2014 | pt |
dc.relation | FCT - SFRH/BSAB/113647/2015 | pt |
dc.rights | restrictedAccess | por |
dc.subject | Elliptic systems | pt |
dc.subject | Existence of solutions | pt |
dc.subject | Measures | pt |
dc.title | Quasilinear elliptic systems with measure data | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.title | Nonlinear Analysis | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1016/j.na.2016.04.002 | pt |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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LRSPaper_online.pdf | main | 720.34 kB | Adobe PDF |
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