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Volume 31, Issue 2
Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case

Emmanuel Hebey & Pierre-Damien Thizy

DOI: 10.4208/jpde.v31.n2.2

J. Part. Diff. Eq., 31 (2018), pp. 119-158.

Published online: 2018-07

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  • Abstract

We investigate a Klein-Gordon-Maxwell-Proca type system in the context of closed 3-dimensional manifolds. We prove existence of solutions and compactness of the system both in the subcritical and in the critical case.

  • Keywords

Elliptic systems Klein-Gordon-Maxwell-Proca equations critical exponent compactness stability

  • AMS Subject Headings

35J47, 58J05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

Emmanuel.Hebey@u-cergy.fr (Emmanuel Hebey)

pierre-damien.thizy@univ-lyon1.fr (Pierre-Damien Thizy)

  • BibTex
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  • TXT
@Article{JPDE-31-119, author = {Hebey , Emmanuel and Thizy , Pierre-Damien}, title = {Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {2}, pages = {119--158}, abstract = {

We investigate a Klein-Gordon-Maxwell-Proca type system in the context of closed 3-dimensional manifolds. We prove existence of solutions and compactness of the system both in the subcritical and in the critical case.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n2.2}, url = {http://global-sci.org/intro/article_detail/jpde/12514.html} }
TY - JOUR T1 - Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case AU - Hebey , Emmanuel AU - Thizy , Pierre-Damien JO - Journal of Partial Differential Equations VL - 2 SP - 119 EP - 158 PY - 2018 DA - 2018/07 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n2.2 UR - https://global-sci.org/intro/article_detail/jpde/12514.html KW - Elliptic systems KW - Klein-Gordon-Maxwell-Proca equations KW - critical exponent KW - compactness KW - stability AB -

We investigate a Klein-Gordon-Maxwell-Proca type system in the context of closed 3-dimensional manifolds. We prove existence of solutions and compactness of the system both in the subcritical and in the critical case.

Hebey , Emmanuel and Thizy , Pierre-Damien. (2018). Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case. Journal of Partial Differential Equations. 31 (2). 119-158. doi:10.4208/jpde.v31.n2.2
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