On a generalized critical point theory on gauge spaces and applications to elliptic problems on ${\mathbb R}^N$
Keywords
Critical point theory, elliptic problem on R^NAbstract
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 ${\mathbb R}^N$.Downloads
Published
2001-03-01
How to Cite
1.
FRIGON, Marlène. On a generalized critical point theory on gauge spaces and applications to elliptic problems on ${\mathbb R}^N$. Topological Methods in Nonlinear Analysis. Online. 1 March 2001. Vol. 17, no. 1, pp. 67 - 89. [Accessed 14 February 2025].
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