@Article{JPDE-18-322, author = {}, title = {A Note on the Yamabe Problem}, journal = {Journal of Partial Differential Equations}, year = {2005}, volume = {18}, number = {4}, pages = {322--326}, abstract = {

In this note we verify the key inequality Y_1(M) < Y_1(S^n) for the Yamabe constant Y_1(M) for manifolds M not conformal to the unit sphere, by using a solution to an associated equation as a test function.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5367.html} }