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Volume 19, Issue 3
Some Nonlinear Elliptic Equations Have Only Constant Solutions

Brezis Haïm & YanYan Li

J. Part. Diff. Eq., 19 (2006), pp. 208-217.

Published online: 2006-08

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  • Abstract

We study some nonlinear elliptic equations on compact Riemannian manifolds. Our main concern is to find conditions which imply that such equations admit only constant solutions.

  • Keywords

Nonlinear elliptic equations constant solutions

  • AMS Subject Headings

35J60.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-19-208, author = {Brezis Haïm and YanYan Li}, title = {Some Nonlinear Elliptic Equations Have Only Constant Solutions}, journal = {Journal of Partial Differential Equations}, year = {2006}, volume = {19}, number = {3}, pages = {208--217}, abstract = {

We study some nonlinear elliptic equations on compact Riemannian manifolds. Our main concern is to find conditions which imply that such equations admit only constant solutions.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5328.html} }
TY - JOUR T1 - Some Nonlinear Elliptic Equations Have Only Constant Solutions AU - Brezis Haïm & YanYan Li JO - Journal of Partial Differential Equations VL - 3 SP - 208 EP - 217 PY - 2006 DA - 2006/08 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5328.html KW - Nonlinear elliptic equations KW - constant solutions AB -

We study some nonlinear elliptic equations on compact Riemannian manifolds. Our main concern is to find conditions which imply that such equations admit only constant solutions.

Brezis Haïm and YanYan Li. (2006). Some Nonlinear Elliptic Equations Have Only Constant Solutions. Journal of Partial Differential Equations. 19 (3). 208-217. doi:
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