On a generalized critical point theory on gauge spaces and applications to elliptic problems on ${\mathbb R}^N$
Słowa kluczowe
Critical point theory, elliptic problem on R^NAbstrakt
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 ${\mathbb R}^N$.Pobrania
Opublikowane
2001-03-01
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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 marzec 2001, T. 17, nr 1, s. 67–89. [udostępniono 22.7.2024].
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