Results 241 to 250 of about 469,372 (283)

A critical point theorem without compactness and applications

Nonlinear Analysis: Theory, Methods & Applications, 1998
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Jabri, Y., Moussaoui, M.
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A critical point theorem via the Ekeland variational principle

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Gabriele Bonanno
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On a three critical points theorem

Archiv der Mathematik, 2000
The author consider a smooth functional depending on a real parameter \(\lambda\). He obtains certain results on existence of an open interval of \(\lambda\)'s for which there exist at least three critical points. An application to a semilinear Dirichlet problem is mentioned.
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A three critical points theorem revisited

Nonlinear Analysis: Theory, Methods & Applications, 2009
Let \(X\) be a reflexive Banach space, \(I \subset\mathbb R\) an interval; \(\Phi: X \to\mathbb R\) a sequentially weakly lower semicontinuous \(C^1\) functional, bounded on each bounded subset of \(X\), whose derivative admits a continuous inverse on \(X^*\); \(J: X \to\mathbb R\) a \(C^1\) functional with compact derivative. Assume that \(\lim_{\| x\|
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A further three critical points theorem

Nonlinear Analysis: Theory, Methods & Applications, 2009
This paper establishes a new three critical points theorem for the equation \[ \Phi'(x)=\lambda J'(x)+ \mu\Psi'(x) \] under specific hypotheses. If \(X\) is real Banach space, denote by \(\mathcal{W}_{X}\) the class of functionals \(\Phi:X\rightarrow\mathbb{R}\) possessing the following property: if \(\{u_n\}\) is a sequence in \(X\) converging weakly ...
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