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We provide a survey on the mountain pass theory, viewed as a central tool in the modern nonlinear analysis. The abstract results are illustrated with relevant applications to nonlinear partial differential equations.
We state some bilateral bounds for the Riemann-Stieltjes integral and we extend them to the Weierstrass integral.
In this paper we give a Dunford-Pettis-type weak compactness criterion , where is a -finite measure space.
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