On a generalized critical point theory on gauge spaces and applications to elliptic problems on ${\mathbb R}^N$

Marlène Frigon

DOI: http://dx.doi.org/10.12775/TMNA.2001.005

Abstract


In this paper, we introduce some aspects of a critical
point theory for multivalued functions $\Phi : E \to
{\mathbb R}^{\mathbb N} \cup \{\infty\}$ defined on $E$ a complete
gauge space and with closed graph. The existence of a critical point
is established in presence of linking. Finally, we present
applications of this theory to semilinear elliptic problems on
${\mathbb R}^N$.

Keywords


Critical point theory; elliptic problem on R^N

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