Uniqueness of Positive Solutions for m-Laplacian Equations with Polynomial Non-linearity
Citation：
Wei KE.Uniqueness of Positive Solutions for m-Laplacian Equations with Polynomial Non-linearity[J].Chinese Annals of Mathematics B,2025,46(3):373~406
Page view： 253Net amount： 145
Authors：
Wei KE;
Abstract：
where $m>1$ is a constant. When $p\rightarrow m$, the uniqueness of
positive solutions of $(*)$ is shown which is based on the essential
uniqueness of first eigenfunction for $m$-Laplacian equation.
Futhermore, it is proved that the uniqueness results when $(*)$ is a
perturbation of Laplacian equation.
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