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math.FA2014
Some abstract results on the existence of bounded Palais-Smale sequences
Michela Guida, Sergio Rolando
Without compactness assumptions, we prove some abstract results which show that a functional on a Banach space admits bounded Palais-Smale s…
math.FA2014★ 11 cited
Compactness and existence results in weighted Sobolev spaces of radial functions, Part I: Compactness
Marino Badiale, Michela Guida, Sergio Rolando
Given two measurable functions and , , we define the weighted spaces \[ H_V^1 = \{u \in D^{1,2}(\mathbb{R}^N): \int_{\mathbb{R}^N}V(|x|)u^{2}dx < \infty…