@Article{JPDE-23-315,
author = {Xue Luo },
title = {Uniqueness of the Weak Extremal Solution to Biharmonic Equation with Logarithmically Convex Nonlinearities},
journal = {Journal of Partial Differential Equations},
year = {2010},
volume = {23},
number = {4},
pages = {315--329},
abstract = {<p>In this note, we investigate the existence of the minimal solution and the uniqueness of the weak extremal (probably singular) solution to the biharmonic equation Δ^2ω=λg(ω) with Dirichlet boundary condition in the unit ball in R^n, where the source term is logarithmically convex. An example is also given to illustrate that the logarithmical convexity is not a necessary condition to ensure the uniqueness of the extremal solution.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v23.n4.2},
url = {http://global-sci.org/intro/article_detail/jpde/5237.html}
}