A Palais-Smale approach to Sobolev subcritical operators

Huei-li Lin, Hwai-chiuan Wag, Tsung-fang Wu

DOI: http://dx.doi.org/10.12775/TMNA.2002.042

Abstract


In this article, we use Palais-Smale approaches to describe the achieved
and nonachieved domains. We characterizes the achieved domain by the
existence of a ground state solution for the energy functional $J$
in $\Omega$.

Keywords


(PS)-conditions; Sobolew subcritical operators; achieved domains; interior flask domains

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