Existence of minimizer of some functionals involving Hardy-type inequalities
DOI: http://dx.doi.org/10.12775/TMNA.2006.022
Abstract
We study a class of $p$-laplacian-type problems
with various unbounded weights and a forcing term on open subsets of
$\mathbb R^N$ or on the positive real axis. To prove the
existence of solution, we use variational methods involving
concentration-compactness technique and Hardy-type inequalities.
with various unbounded weights and a forcing term on open subsets of
$\mathbb R^N$ or on the positive real axis. To prove the
existence of solution, we use variational methods involving
concentration-compactness technique and Hardy-type inequalities.
Keywords
Nonlinear problem; concentration-compactness; p-laplacian; singular weights; Hardy-type inequality
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