S. Rolando

activity

20132023

most citedCompactness and existence results for the

p

-Laplace equation

20 citations · 82 across the 16 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

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 $C^{1}$ functional $I : X \to R$ on a Banach space $X$ 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 $V (r) \geq 0$ and $K (r) > 0$ , $r > 0$ , 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…