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- W2066282182 abstract "We study a class of mean curvature equations $-mathcal Mu=H+lambda u^p$ where $mathcal M$ denotes the mean curvature operator and for $pgeq 1$. We show that there exists an extremal parameter $lambda^*$ such that this equation admits a minimal weak solutions for all $lambda in [0,lambda^*]$, while no weak solutions exists for $lambda >lambda^*$ (weak solutions will be defined as critical points of a suitable functional). In the radially symmetric case, we then show that minimal weak solutions are classical solutions for all $lambdain [0,lambda^*]$ and that another branch of classical solutions exists in a neighborhood $(lambda_*-eta,lambda^*)$ of $lambda^*$." @default.
- W2066282182 created "2016-06-24" @default.
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- W2066282182 date "2009-04-16" @default.
- W2066282182 modified "2023-09-26" @default.
- W2066282182 title "Existence and regularity of extremal solutions for a mean-curvature equation" @default.
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